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Finding the Fourth Proportional to 200,766,067.20, 301,088,793.60 and 71,356,665.60

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Solution

The fourth proportional to 200,766,067.20, 301,088,793.60 and 71,356,665.60 is: 107,013,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,766,067.20 : 301,088,793.60 = 71,356,665.60 : x
  2. Step 2: Convert to fraction form
    200,766,067.20/301,088,793.60 = 71,356,665.60/x
  3. Step 3: Cross multiply
    200,766,067.20x = 301,088,793.60 × 71,356,665.60
  4. Step 4: Simplify right side
    200,766,067.20x = 21,484,692,360,822,620
  5. Step 5: Solve for x
    x = 21,484,692,360,822,620/200,766,067.20
  6. Step 6: Final answer
    x = 107,013,563.90

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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.