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Finding the Fourth Proportional to 206,952,144.60, 310,428,216.90 and 142,454,890.20

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Solution

The fourth proportional to 206,952,144.60, 310,428,216.90 and 142,454,890.20 is: 213,682,335.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952,144.60 : 310,428,216.90 = 142,454,890.20 : x
  2. Step 2: Convert to fraction form
    206,952,144.60/310,428,216.90 = 142,454,890.20/x
  3. Step 3: Cross multiply
    206,952,144.60x = 310,428,216.90 × 142,454,890.20
  4. Step 4: Simplify right side
    206,952,144.60x = 44,222,017,553,471,280
  5. Step 5: Solve for x
    x = 44,222,017,553,471,280/206,952,144.60
  6. Step 6: Final answer
    x = 213,682,335.30

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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.