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Finding the Fourth Proportional to 4,189,437,976,500.20, 6,284,156,964,750.20 and 4,189,437,976,500.20

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Solution

The fourth proportional to 4,189,437,976,500.20, 6,284,156,964,750.20 and 4,189,437,976,500.20 is: 6,284,156,964,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,437,976,500.20 : 6,284,156,964,750.20 = 4,189,437,976,500.20 : x
  2. Step 2: Convert to fraction form
    4,189,437,976,500.20/6,284,156,964,750.20 = 4,189,437,976,500.20/x
  3. Step 3: Cross multiply
    4,189,437,976,500.20x = 6,284,156,964,750.20 × 4,189,437,976,500.20
  4. Step 4: Simplify right side
    4,189,437,976,500.20x = 26,327,085,838,412,717,662,142,464
  5. Step 5: Solve for x
    x = 26,327,085,838,412,717,662,142,464/4,189,437,976,500.20
  6. Step 6: Final answer
    x = 6,284,156,964,750.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.