Team mates Claudia Fragapane and Amy Tinkler revived hopes of a medal by nailing their vaults in the final rotation but Ellie knew she too would need an impressive leap if those dreams were to be realised.
GB women's previous World Championships team best was fifth in Tokyo in 2011.
Only the most unexpected of meltdowns on the floor exercise would have denied them gold but with twice world all-around champion Biles leading the way with her sassy moves and electrifying tumbles, that was never likely to happen.
The final rotation turned into a lap of honour as the Americans completed their victory charge with a total of 181.338.
China, also second placers last year in Nanning on home soil, won the silver again with 176.164 points.
With Douglas, Margaret Nichols, Alexandra Raisman and Madison Kocian proving to be a dazzling support act to Biles's jaw-dropping skills, the Americans had no problem living up to their billing as favorites. "I told her she could go to the beam and either throw it away or she can smash it and bring it back".
The 16-year-old, though, regained her composure to score well on beam and floor before her decisive vault under pressure.
A score of 15.133 confirmed Britain had leapfrogged Russia and Japan into the bronze medal position with a combined total of 172.380.
But outstanding vaults from Fragapane, Tinkler and Ellie Downie - one of two 16-year-old debutants in the team alongside Tinkler - lifted the host nation above Russia. "I don't think anyone expected us to get a medal", said the younger of the Downie siblings.