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Finding the Fourth Proportional to 206,687,511.80, 310,031,267.70 and 137,812,758.20

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Solution

The fourth proportional to 206,687,511.80, 310,031,267.70 and 137,812,758.20 is: 206,719,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,687,511.80 : 310,031,267.70 = 137,812,758.20 : x
  2. Step 2: Convert to fraction form
    206,687,511.80/310,031,267.70 = 137,812,758.20/x
  3. Step 3: Cross multiply
    206,687,511.80x = 310,031,267.70 × 137,812,758.20
  4. Step 4: Simplify right side
    206,687,511.80x = 42,726,264,129,979,568
  5. Step 5: Solve for x
    x = 42,726,264,129,979,568/206,687,511.80
  6. Step 6: Final answer
    x = 206,719,137.30

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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.