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Finding the Fourth Proportional to 206,648,846.78, 285,175,424.15 and 113,829,354.62

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Solution

The fourth proportional to 206,648,846.78, 285,175,424.15 and 113,829,354.62 is: 157,084,517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,648,846.78 : 285,175,424.15 = 113,829,354.62 : x
  2. Step 2: Convert to fraction form
    206,648,846.78/285,175,424.15 = 113,829,354.62/x
  3. Step 3: Cross multiply
    206,648,846.78x = 285,175,424.15 × 113,829,354.62
  4. Step 4: Simplify right side
    206,648,846.78x = 32,461,334,485,586,048
  5. Step 5: Solve for x
    x = 32,461,334,485,586,048/206,648,846.78
  6. Step 6: Final answer
    x = 157,084,517.97

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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.