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Finding the Fourth Proportional to 564,429,414.60, 846,644,121.90 and 564,429,414.60

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Solution

The fourth proportional to 564,429,414.60, 846,644,121.90 and 564,429,414.60 is: 846,644,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,429,414.60 : 846,644,121.90 = 564,429,414.60 : x
  2. Step 2: Convert to fraction form
    564,429,414.60/846,644,121.90 = 564,429,414.60/x
  3. Step 3: Cross multiply
    564,429,414.60x = 846,644,121.90 × 564,429,414.60
  4. Step 4: Simplify right side
    564,429,414.60x = 477,870,846,098,548,032
  5. Step 5: Solve for x
    x = 477,870,846,098,548,032/564,429,414.60
  6. Step 6: Final answer
    x = 846,644,121.90

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