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Finding the Fourth Proportional to 206,736,653.97, 309,812,687.94 and 114,660,957.78

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Solution

The fourth proportional to 206,736,653.97, 309,812,687.94 and 114,660,957.78 is: 171,829,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,736,653.97 : 309,812,687.94 = 114,660,957.78 : x
  2. Step 2: Convert to fraction form
    206,736,653.97/309,812,687.94 = 114,660,957.78/x
  3. Step 3: Cross multiply
    206,736,653.97x = 309,812,687.94 × 114,660,957.78
  4. Step 4: Simplify right side
    206,736,653.97x = 35,523,419,530,047,592
  5. Step 5: Solve for x
    x = 35,523,419,530,047,592/206,736,653.97
  6. Step 6: Final answer
    x = 171,829,324.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.