Pakistan captain Misbah-ul-Haq equalled Viv Richards' record for the fastest century in Test cricket as his side continued to dominate Australia.
Misbah and Azhar Ali each recorded their second ton of the match - following Australian brothers Ian and Greg Chappell, against New Zealand in 1974, as the only pairs of batsmen from the same team to have achieved the feat - in a second innings of 293 for three declared.
And Misbah's 11th four, to go with five sixes, saw him reach three figures in 56 balls and emulate Richards' effort against England in the 1986 Antigua Test.
Along the way, he also broke Jacques Kallis' record for the fastest half-century as he got there in 21 deliveries - three quicker than the South African's effort in a two-day win over Zimbabwe in Cape Town in 2005.
A single off the next ball got Azhar on strike for the chance to follow him to a hundred - which he immediately did for their joint moment of history.
And Misbah immediately declared with a lead of 602, leaving the designated hosts - who have not won a Test series against Australia in 20 years - a scheduled 138 overs to bowl their opponents out in Abu Dhabi.
Australia, in reply, closed 459 runs behind on 143 for four after three early wickets from Zulfiqar Babar.
The slow left-armer had Chris Rogers gloving to slip and Glenn Maxwell given lbw after a Pakistan review before bowling Michael Clarke.
David Warner and Steven Smith rebuilt with a stand of 58, but a top-edged slog-sweep off Mohammad Hafeez ended the former’s innings on 58.
Smith was still there at stumps on 38 with Mitchell Marsh 26 not out, the pair having put on 42.
Misbah and Azhar came together at 152 for three second time around when Younus Khan was finally dismissed, making 46 before falling lbw to Smith. Mitchell Johnson had earlier dismissed openers Ahmed Shehzad and Hafeez.
They put on 141 in 102 balls although Misbah had an early let-off when, after hitting his first ball from Smith for four, he was dropped by Peter Siddle from his second.
He hit three sixes and a four in successive deliveries in the leg-spinner's next over and two fours in a row off Marsh, before again launching Smith across the ropes to reach 49.
A three off Mitchell Starc accounted for Kallis' record and he was not finished yet, hitting successive fours off the left-armer and two more in one Siddle over.
After a relative lull of 11 balls without a boundary, he stepped back to loft Siddle for six and hit three more fours off Starc to match Richards - the last of them admittedly edged to third man.