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Finding the Fourth Proportional to 7,815,661,679.80, 10,970,950,116.20 and 7,815,661,679.80

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Solution

The fourth proportional to 7,815,661,679.80, 10,970,950,116.20 and 7,815,661,679.80 is: 10,970,950,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815,661,679.80 : 10,970,950,116.20 = 7,815,661,679.80 : x
  2. Step 2: Convert to fraction form
    7,815,661,679.80/10,970,950,116.20 = 7,815,661,679.80/x
  3. Step 3: Cross multiply
    7,815,661,679.80x = 10,970,950,116.20 × 7,815,661,679.80
  4. Step 4: Simplify right side
    7,815,661,679.80x = 85,745,234,414,181,711,872
  5. Step 5: Solve for x
    x = 85,745,234,414,181,711,872/7,815,661,679.80
  6. Step 6: Final answer
    x = 10,970,950,116.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.