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Finding the Fourth Proportional to 492,082,306.20, 738,123,459.30 and 492,082,306.20

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Solution

The fourth proportional to 492,082,306.20, 738,123,459.30 and 492,082,306.20 is: 738,123,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,082,306.20 : 738,123,459.30 = 492,082,306.20 : x
  2. Step 2: Convert to fraction form
    492,082,306.20/738,123,459.30 = 492,082,306.20/x
  3. Step 3: Cross multiply
    492,082,306.20x = 738,123,459.30 × 492,082,306.20
  4. Step 4: Simplify right side
    492,082,306.20x = 363,217,494,112,665,792
  5. Step 5: Solve for x
    x = 363,217,494,112,665,792/492,082,306.20
  6. Step 6: Final answer
    x = 738,123,459.30

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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.