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ISL 2020 A3

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Suppose that a,b,c,da, b, c, d are positive real numbers satisfying (a+c)(b+d)=ac+bd(a+c)(b+d)=a c+b d. Find the smallest possible value of ab+bc+cd+da\frac{a}{b}+\frac{b}{c}+\frac{c}{d}+\frac{d}{a}

Dataset text NuminaMath olympiads. Quoted with source.

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