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Finding the Fourth Proportional to 409,777,748.40, 614,454,046.20 and 150,859,693.20

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Solution

The fourth proportional to 409,777,748.40, 614,454,046.20 and 150,859,693.20 is: 226,211,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,777,748.40 : 614,454,046.20 = 150,859,693.20 : x
  2. Step 2: Convert to fraction form
    409,777,748.40/614,454,046.20 = 150,859,693.20/x
  3. Step 3: Cross multiply
    409,777,748.40x = 614,454,046.20 × 150,859,693.20
  4. Step 4: Simplify right side
    409,777,748.40x = 92,696,348,895,230,624
  5. Step 5: Solve for x
    x = 92,696,348,895,230,624/409,777,748.40
  6. Step 6: Final answer
    x = 226,211,279.79

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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.