Alastair Cook continued to taunt Australia's bowlers by scoring his first double ton as England helped set up a potentially tense finish to the first Ashes Test.
Australia's bowlers again lacked punch at the Gabba as England added 130 runs without loss in the morning session to reach 1-439.
England hold a lead of more than 200 hundred runs with nine wickets in hand and two sessions to play on day five.
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Milestones ticked over at regular intervals for the tourists with number three Jonathan Trott making scoring a century just before lunch.
The 25-year-old Cook becomes only the fourth England batsman to score a double hundred in a Test in Australia.
Misses opportunities
Australia had the perfect opportunity to break the successful partnership.
Michael Clarke, who had grassed a diving chance at point from Trott's blade, gave the right-hander another life on 75 when he fumbled a waist-high catch at first slip off the bowling of Shane Watson.
"You couldn't get an easier catch. It was a shocker," ABC Radio commentator Damien Fleming said.
Australia had dropped three catches on Sunday, offering chances to Strauss on 69, Cook on 103 and Trott on 34.
The Cook-Trott stand of 251 is the best partnership for any wicket by any touring team in a Gabba Test, beating the 224 by New Zealand's John Reid and Martin Crowe in 1985-86.
Cook's opening stand of 188 with Strauss (110) is England's best first-wicket partnership in a Gabba Test.
It's also the first time since 1924 England's top three batsmen have scored centuries in a Test innings.
A declaration by England could set up a tense finish, however as the Ashes holders it's debatable whether skipper Andrew Strauss would want to risk an Australian comeback win on a flat batting track.
