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Finding the Fourth Proportional to 472,392,502.20, 708,588,753.30 and 414,996,874.20

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Solution

The fourth proportional to 472,392,502.20, 708,588,753.30 and 414,996,874.20 is: 622,495,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,502.20 : 708,588,753.30 = 414,996,874.20 : x
  2. Step 2: Convert to fraction form
    472,392,502.20/708,588,753.30 = 414,996,874.20/x
  3. Step 3: Cross multiply
    472,392,502.20x = 708,588,753.30 × 414,996,874.20
  4. Step 4: Simplify right side
    472,392,502.20x = 294,062,117,712,774,912
  5. Step 5: Solve for x
    x = 294,062,117,712,774,912/472,392,502.20
  6. Step 6: Final answer
    x = 622,495,311.30

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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.