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Finding the Fourth Proportional to 386,906,543,999.88, 580,359,815,999.80 and 386,906,543,999.88

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Solution

The fourth proportional to 386,906,543,999.88, 580,359,815,999.80 and 386,906,543,999.88 is: 580,359,815,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,906,543,999.88 : 580,359,815,999.80 = 386,906,543,999.88 : x
  2. Step 2: Convert to fraction form
    386,906,543,999.88/580,359,815,999.80 = 386,906,543,999.88/x
  3. Step 3: Cross multiply
    386,906,543,999.88x = 580,359,815,999.80 × 386,906,543,999.88
  4. Step 4: Simplify right side
    386,906,543,999.88x = 224,545,010,684,888,912,756,736
  5. Step 5: Solve for x
    x = 224,545,010,684,888,912,756,736/386,906,543,999.88
  6. Step 6: Final answer
    x = 580,359,815,999.80

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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.