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Finding the Fourth Proportional to 206,455,566.52, 284,906,425.98 and 113,634,076.60

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Solution

The fourth proportional to 206,455,566.52, 284,906,425.98 and 113,634,076.60 is: 156,813,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,455,566.52 : 284,906,425.98 = 113,634,076.60 : x
  2. Step 2: Convert to fraction form
    206,455,566.52/284,906,425.98 = 113,634,076.60/x
  3. Step 3: Cross multiply
    206,455,566.52x = 284,906,425.98 × 113,634,076.60
  4. Step 4: Simplify right side
    206,455,566.52x = 32,375,078,633,643,552
  5. Step 5: Solve for x
    x = 32,375,078,633,643,552/206,455,566.52
  6. Step 6: Final answer
    x = 156,813,784.10

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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.