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Finding the Fourth Proportional to 192,458,693.60, 288,262,887.60 and 77,384,002.40

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Solution

The fourth proportional to 192,458,693.60, 288,262,887.60 and 77,384,002.40 is: 115,905,057.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,458,693.60 : 288,262,887.60 = 77,384,002.40 : x
  2. Step 2: Convert to fraction form
    192,458,693.60/288,262,887.60 = 77,384,002.40/x
  3. Step 3: Cross multiply
    192,458,693.60x = 288,262,887.60 × 77,384,002.40
  4. Step 4: Simplify right side
    192,458,693.60x = 22,306,935,985,869,332
  5. Step 5: Solve for x
    x = 22,306,935,985,869,332/192,458,693.60
  6. Step 6: Final answer
    x = 115,905,057.70

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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.