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Finding the Fourth Proportional to 4,915,693,737,072, 7,373,540,605,608.90 and 4,915,693,737,072

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Solution

The fourth proportional to 4,915,693,737,072, 7,373,540,605,608.90 and 4,915,693,737,072 is: 7,373,540,605,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915,693,737,072 : 7,373,540,605,608.90 = 4,915,693,737,072 : x
  2. Step 2: Convert to fraction form
    4,915,693,737,072/7,373,540,605,608.90 = 4,915,693,737,072/x
  3. Step 3: Cross multiply
    4,915,693,737,072x = 7,373,540,605,608.90 × 4,915,693,737,072
  4. Step 4: Simplify right side
    4,915,693,737,072x = 36,246,067,375,037,753,841,418,240
  5. Step 5: Solve for x
    x = 36,246,067,375,037,753,841,418,240/4,915,693,737,072
  6. Step 6: Final answer
    x = 7,373,540,605,608.90

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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.