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Finding the Fourth Proportional to 206,681,168.80, 310,021,753.20 and 185,636,105.20

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Solution

The fourth proportional to 206,681,168.80, 310,021,753.20 and 185,636,105.20 is: 278,454,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,681,168.80 : 310,021,753.20 = 185,636,105.20 : x
  2. Step 2: Convert to fraction form
    206,681,168.80/310,021,753.20 = 185,636,105.20/x
  3. Step 3: Cross multiply
    206,681,168.80x = 310,021,753.20 × 185,636,105.20
  4. Step 4: Simplify right side
    206,681,168.80x = 57,551,230,791,323,632
  5. Step 5: Solve for x
    x = 57,551,230,791,323,632/206,681,168.80
  6. Step 6: Final answer
    x = 278,454,157.80

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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.