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Finding the Fourth Proportional to 413,098,747.60, 570,086,494.50 and 224,937,356.77

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Solution

The fourth proportional to 413,098,747.60, 570,086,494.50 and 224,937,356.77 is: 310,419,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,098,747.60 : 570,086,494.50 = 224,937,356.77 : x
  2. Step 2: Convert to fraction form
    413,098,747.60/570,086,494.50 = 224,937,356.77/x
  3. Step 3: Cross multiply
    413,098,747.60x = 570,086,494.50 × 224,937,356.77
  4. Step 4: Simplify right side
    413,098,747.60x = 128,233,749,203,105,152
  5. Step 5: Solve for x
    x = 128,233,749,203,105,152/413,098,747.60
  6. Step 6: Final answer
    x = 310,419,118.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.