Prove `|(1+a,1,1),(1,1+b,1),(1,1,1+c)|=abc(1/a+1/b+1/c+1)`

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#ratioandproprtion Prove 1/1+a+1/b + 1/1+b+1/c + 1/1 +c+1/a =1,if abc= 1. #ratioandproprtion Prove 1/1+a+1/b + 1/1+b+1/c + 1/1 +c+1/a =1,if abc= 1.
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