Earlier quoted context omitted.
This is just factually untrue the GDP of the British empire was much larger than that of the US and in terms of scientific innovation Germany was widely considered to be at the forefront with France and UK as equals. The US was largely a scientific backwater.
I do not know what textbooks you read or economic history lectures you took to reach your conclusion. This is the second half of the 19th C, the US was absolutely dominating the industrial revolution in the era that produced the Carnegies Rockefellers JP Morgans and dozens of others of similar stature. Entire new industries and processes like interchangeable parts, telegraph, petroleum products, railraods, rise of ma…
If you look it up you can see for yourself that you aren’t saying true things.
http://news.bbc.co.uk/1/hi/uk/7174996.stm
The UK’s GDP per capita was still massively higher than the US’s as late as 1870. It didn’t overtake until 1890.
And the US obviously had a relatively late industrial revolution and adoption of things like railroads because they began in other countries and were imported.