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Finding the Fourth Proportional to 6,601,834,978.73, 9,902,752,468.09 and 6,601,834,978.73

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Solution

The fourth proportional to 6,601,834,978.73, 9,902,752,468.09 and 6,601,834,978.73 is: 9,902,752,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601,834,978.73 : 9,902,752,468.09 = 6,601,834,978.73 : x
  2. Step 2: Convert to fraction form
    6,601,834,978.73/9,902,752,468.09 = 6,601,834,978.73/x
  3. Step 3: Cross multiply
    6,601,834,978.73x = 9,902,752,468.09 × 6,601,834,978.73
  4. Step 4: Simplify right side
    6,601,834,978.73x = 65,376,337,629,491,888,128
  5. Step 5: Solve for x
    x = 65,376,337,629,491,888,128/6,601,834,978.73
  6. Step 6: Final answer
    x = 9,902,752,468.09

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1.5x scale

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.