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Finding the Fourth Proportional to 4,915,693,737,077, 7,373,540,605,616.40 and 4,915,693,737,077

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Solution

The fourth proportional to 4,915,693,737,077, 7,373,540,605,616.40 and 4,915,693,737,077 is: 7,373,540,605,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915,693,737,077 : 7,373,540,605,616.40 = 4,915,693,737,077 : x
  2. Step 2: Convert to fraction form
    4,915,693,737,077/7,373,540,605,616.40 = 4,915,693,737,077/x
  3. Step 3: Cross multiply
    4,915,693,737,077x = 7,373,540,605,616.40 × 4,915,693,737,077
  4. Step 4: Simplify right side
    4,915,693,737,077x = 36,246,067,375,111,489,839,955,968
  5. Step 5: Solve for x
    x = 36,246,067,375,111,489,839,955,968/4,915,693,737,077
  6. Step 6: Final answer
    x = 7,373,540,605,616.40

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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.