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Finding the Fourth Proportional to 137,727,261,909.20, 206,590,892,863.80 and 137,727,261,909.20

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Solution

The fourth proportional to 137,727,261,909.20, 206,590,892,863.80 and 137,727,261,909.20 is: 206,590,892,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,727,261,909.20 : 206,590,892,863.80 = 137,727,261,909.20 : x
  2. Step 2: Convert to fraction form
    137,727,261,909.20/206,590,892,863.80 = 137,727,261,909.20/x
  3. Step 3: Cross multiply
    137,727,261,909.20x = 206,590,892,863.80 × 137,727,261,909.20
  4. Step 4: Simplify right side
    137,727,261,909.20x = 28,453,198,009,508,059,676,672
  5. Step 5: Solve for x
    x = 28,453,198,009,508,059,676,672/137,727,261,909.20
  6. Step 6: Final answer
    x = 206,590,892,863.80

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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.