AHC: Polish-Lithuanian-Hungarian-Bohemian Union lasting at least 200 years

raharris1973

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I think different branches of the same Jagiellonian family ruled Poland-Lithuania and Bohemia-Hungary for a generation or so, but this did not become a personal union and did not last as the Habsburg's inherited Bohemia-Hungary.

How could we have mega-union of Poland-Lithuania-Bohemia-Hungary get established, and last at least 200 years, like Austria-Hungary?

What macro-effects would this have on the HRE, Sweden, Muscovy and the Ottoman Empire?
 
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