44.4444 [correct to 4 deimal place]If I am right then please upvote and be my follower.

Given:
9:16::25:x

To find:
The value of x

Solution:
To find the value of x, we need to understand the relationship between the given numbers. The numbers are represented in the format a:b::c:x, where a, b, c, and x are the terms of the proportion.

Step 1: Understanding the Proportion
In a proportion, the first term (a) is related to the second term (b) in the same way as the third term (c) is related to the fourth term (x). This means that the ratio of a to b is equal to the ratio of c to x.

Step 2: Finding the Ratio
To find the ratio between two numbers, we divide one number by the other. In this case, we can find the ratio between 9 and 16 by dividing 9 by 16, which gives us 0.5625. Similarly, the ratio between 25 and x can be found by dividing 25 by x, which gives us 25/x.

Step 3: Equating the Ratios
Since the two ratios are equal according to the given proportion, we can set up an equation and solve for x.

The equation is:
0.5625 = 25/x

Step 4: Solving for x
To solve the equation for x, we can cross-multiply and then divide both sides by 0.5625.

0.5625 * x = 25
x = 25 / 0.5625
x = 44.44

Answer:
The value of x is 44.44.