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Finding the Fourth Proportional to 498,428,082.09, 747,642,123.14 and 498,428,082.09

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Solution

The fourth proportional to 498,428,082.09, 747,642,123.14 and 498,428,082.09 is: 747,642,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,428,082.09 : 747,642,123.14 = 498,428,082.09 : x
  2. Step 2: Convert to fraction form
    498,428,082.09/747,642,123.14 = 498,428,082.09/x
  3. Step 3: Cross multiply
    498,428,082.09x = 747,642,123.14 × 498,428,082.09
  4. Step 4: Simplify right side
    498,428,082.09x = 372,645,829,523,873,664
  5. Step 5: Solve for x
    x = 372,645,829,523,873,664/498,428,082.09
  6. Step 6: Final answer
    x = 747,642,123.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.