So IOTL, the Qing took over the Ming during the Ming-Qing wars (1616-1683). But IITL, Song China is alive since the Mongols never become powerful and it occupies all of the Qing Dynasty's land, plus Burma, Hokkaido, Philippines (ITTL Magellan never came and introduced Christianity), Taiwan, Vietnam, Thailand, Malaysia, Singapore, Indonesia, New Zealand, Bangladesh, West and East Bengal, Kashmir, Sri Lanka, Australia, Kamchatka Peninsula, and the modern States of Washington, Oregon, Nevada, California, and Idaho, the Ir tusk area, and has 400 million people. It also has steam-powered ships, better rifles than Europe, and still has universal welfare like the Song did IOTL (though they also have the predecessor to universal healthcare). However, what few minorities there once were are now wiped out (so bye bye Manchus and Mongols). Foot binding is now forbidden, and China has a literacy rate of 65% for men and 50% for women due to expansion of examinations due to rise in wealth.
A "Imperial Chief-Representative" is installed (their version of a prime minister) in 1600, a woman by the name of Dushang Beifong. A "Imperial Court of Governor-Representatives" is also installed, with 100 Governor-Representatives who not only each maintained a province, but helped make decisions in the Imperial Court along with the Chief-Representative. The current Empress is Mei Xia, women have better rights, and China has by far the highest GDP per person on the Earth.
I hope to god this is better than my previous thread.