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Finding the Fourth Proportional to 409,787,520.92, 565,508,470.98 and 221,615,810.70

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Solution

The fourth proportional to 409,787,520.92, 565,508,470.98 and 221,615,810.70 is: 305,830,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,787,520.92 : 565,508,470.98 = 221,615,810.70 : x
  2. Step 2: Convert to fraction form
    409,787,520.92/565,508,470.98 = 221,615,810.70/x
  3. Step 3: Cross multiply
    409,787,520.92x = 565,508,470.98 × 221,615,810.70
  4. Step 4: Simplify right side
    409,787,520.92x = 125,325,618,253,950,128
  5. Step 5: Solve for x
    x = 125,325,618,253,950,128/409,787,520.92
  6. Step 6: Final answer
    x = 305,830,733.87

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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.