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Finding the Fourth Proportional to 206,580,399.30, 309,870,598.95 and 206,580,399.30

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Solution

The fourth proportional to 206,580,399.30, 309,870,598.95 and 206,580,399.30 is: 309,870,598.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580,399.30 : 309,870,598.95 = 206,580,399.30 : x
  2. Step 2: Convert to fraction form
    206,580,399.30/309,870,598.95 = 206,580,399.30/x
  3. Step 3: Cross multiply
    206,580,399.30x = 309,870,598.95 × 206,580,399.30
  4. Step 4: Simplify right side
    206,580,399.30x = 64,013,192,062,421,160
  5. Step 5: Solve for x
    x = 64,013,192,062,421,160/206,580,399.30
  6. Step 6: Final answer
    x = 309,870,598.95

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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.