High altitude balls, during manufacture, are pressurized less so that, when opened at altitude, the balls are not too bouncy, as would be the case with normal tennis balls at altitude. I believe they are also manufactured to have approximately a 6% greater diameter. This greater cross-sectional area ,when traveling through thinner air (i.e., at altitude), should produce roughly similar flight characteristics as regular balls at sea level.
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The higher the altitude the farther a ball can be thrown or hit because the air is so thin