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How to calculate the formula of solving equation with mathematical ratio

For example:

2: 1=4:x

2x= 1x4

2x=4

x = 4 \2

x=2

In this problem, 1 and 4 belong to introversion, 2 and x belong to extroversion, and the product of internal term and extroversion is equal. Then 2 times X2X equals 1 times 4, and X should be written on the left hand side. Through the theorem that the inner product and the outer product are equal, the solution equation of the ratio can be transformed into the constant solution equation.

According to the basic property of proportion (the product of two external terms is equal to the product of two internal terms), if any three terms in the proportion are known, another unknown term in this proportion can be found.

Extended data:

Solution ratio uses the basic properties of proportion: in proportion, the four numbers that make up the proportion are called proportional terms, and the product of two external terms is equal to the product of two internal terms. Moreover, it should be noted that the solution ratio must be the solution of the equation, and the solution of the equation is not necessarily the solution ratio.

The solution ratio is basically the same as the equation, but we should also pay attention to the alignment of equal signs.

According to the basic nature of proportion: "the product of two external terms is equal to the product of two internal terms." Get the solution ratio.

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