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Finding the Fourth Proportional to 83,466,250.80, 116,613,872.40 and 83,466,250.80

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Solution

The fourth proportional to 83,466,250.80, 116,613,872.40 and 83,466,250.80 is: 116,613,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,466,250.80 : 116,613,872.40 = 83,466,250.80 : x
  2. Step 2: Convert to fraction form
    83,466,250.80/116,613,872.40 = 83,466,250.80/x
  3. Step 3: Cross multiply
    83,466,250.80x = 116,613,872.40 × 83,466,250.80
  4. Step 4: Simplify right side
    83,466,250.80x = 9,733,322,720,497,598
  5. Step 5: Solve for x
    x = 9,733,322,720,497,598/83,466,250.80
  6. Step 6: Final answer
    x = 116,613,872.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.