What's The Mathematical Logic Behind Different A-Size Papers

What's the logic behind deciding different paper sizes? How do we determine the exact length and breadth of A4 sheets and how are these standardized?
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Buy GRAPH PAPER NOTEBOOK: Grid Paper Notebook With 100 Pages per Quadrille | Size: 7.5 x 9.25 | Style: Quadrille Ruled Pages, Ideal for Math

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