Hello Phil.
Since you live in Colorado Springs (and if you're interested), you could visit the National Museum of WWII Aviation and have a look at how Republic solved the problem of high altitude power loss in P-47 Thunderbolt, affectionately referred to as the Jug. The airplane dominated the sky at altitudes above 25,000 ft by incorporating a turbo supercharger that ran the entire length of the fuselage aft of the P and W R-2800.