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Finding the Fourth Proportional to 7,815,101,065.80, 10,970,165,256.60 and 7,815,101,065.80

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Solution

The fourth proportional to 7,815,101,065.80, 10,970,165,256.60 and 7,815,101,065.80 is: 10,970,165,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815,101,065.80 : 10,970,165,256.60 = 7,815,101,065.80 : x
  2. Step 2: Convert to fraction form
    7,815,101,065.80/10,970,165,256.60 = 7,815,101,065.80/x
  3. Step 3: Cross multiply
    7,815,101,065.80x = 10,970,165,256.60 × 7,815,101,065.80
  4. Step 4: Simplify right side
    7,815,101,065.80x = 85,732,950,188,856,803,328
  5. Step 5: Solve for x
    x = 85,732,950,188,856,803,328/7,815,101,065.80
  6. Step 6: Final answer
    x = 10,970,165,256.60

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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.