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Finding the Fourth Proportional to 613,247,233.60, 919,954,831.20 and 204,260,737.60

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Solution

The fourth proportional to 613,247,233.60, 919,954,831.20 and 204,260,737.60 is: 306,419,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,247,233.60 : 919,954,831.20 = 204,260,737.60 : x
  2. Step 2: Convert to fraction form
    613,247,233.60/919,954,831.20 = 204,260,737.60/x
  3. Step 3: Cross multiply
    613,247,233.60x = 919,954,831.20 × 204,260,737.60
  4. Step 4: Simplify right side
    613,247,233.60x = 187,910,652,379,595,488
  5. Step 5: Solve for x
    x = 187,910,652,379,595,488/613,247,233.60
  6. Step 6: Final answer
    x = 306,419,078.77

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Why These Related Problems?

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