High profits and high inflation suggests an economy dominated by monopolies. You won’t get the combination of high profits and high inflation in eras when competition is running hot.
High inflation means values are simply bigger, with no other changes needed, so increased profits are exactly expected in high inflation (along with high revenues, high prices, high costs, high spending, .... that is the definition of inflation).
So your claim that larger numbers "suggests an economy dominated by monopolies" is demonstrably not true. It can merely be inflation with zero other changes.