Finding the Fourth Proportional to 57,629,140,284,442, 79,528,213,592,546 and 32,965,098,418,938
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Solution
The fourth proportional to 57,629,140,284,442, 79,528,213,592,546 and 32,965,098,418,938 is: 45,491,835,818,143.62
Step by Step Solution
- Step 1: Write the proportion equation
57,629,140,284,442 : 79,528,213,592,546 = 32,965,098,418,938 : x - Step 2: Convert to fraction form
57,629,140,284,442/79,528,213,592,546 = 32,965,098,418,938/x - Step 3: Cross multiply
57,629,140,284,442x = 79,528,213,592,546 × 32,965,098,418,938 - Step 4: Simplify right side
57,629,140,284,442x = 2,621,655,388,160,601,850,948,616,192 - Step 5: Solve for x
x = 2,621,655,388,160,601,850,948,616,192/57,629,140,284,442 - Step 6: Final answer
x = 45,491,835,818,143.62
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.