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Finding the Fourth Proportional to 280,188,006.80, 420,282,010.20 and 178,403,277.20

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Solution

The fourth proportional to 280,188,006.80, 420,282,010.20 and 178,403,277.20 is: 267,604,915.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,188,006.80 : 420,282,010.20 = 178,403,277.20 : x
  2. Step 2: Convert to fraction form
    280,188,006.80/420,282,010.20 = 178,403,277.20/x
  3. Step 3: Cross multiply
    280,188,006.80x = 420,282,010.20 × 178,403,277.20
  4. Step 4: Simplify right side
    280,188,006.80x = 74,979,687,967,883,824
  5. Step 5: Solve for x
    x = 74,979,687,967,883,824/280,188,006.80
  6. Step 6: Final answer
    x = 267,604,915.80

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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.