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Finding the Fourth Proportional to 234,247,957.84, 323,073,691.84 and 205,929,782.34

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Solution

The fourth proportional to 234,247,957.84, 323,073,691.84 and 205,929,782.34 is: 284,017,396.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,247,957.84 : 323,073,691.84 = 205,929,782.34 : x
  2. Step 2: Convert to fraction form
    234,247,957.84/323,073,691.84 = 205,929,782.34/x
  3. Step 3: Cross multiply
    234,247,957.84x = 323,073,691.84 × 205,929,782.34
  4. Step 4: Simplify right side
    234,247,957.84x = 66,530,495,040,391,432
  5. Step 5: Solve for x
    x = 66,530,495,040,391,432/234,247,957.84
  6. Step 6: Final answer
    x = 284,017,396.16

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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.