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Finding the Fourth Proportional to 4,915,693,737,027, 7,373,540,605,541.40 and 4,915,693,737,027

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Solution

The fourth proportional to 4,915,693,737,027, 7,373,540,605,541.40 and 4,915,693,737,027 is: 7,373,540,605,541.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915,693,737,027 : 7,373,540,605,541.40 = 4,915,693,737,027 : x
  2. Step 2: Convert to fraction form
    4,915,693,737,027/7,373,540,605,541.40 = 4,915,693,737,027/x
  3. Step 3: Cross multiply
    4,915,693,737,027x = 7,373,540,605,541.40 × 4,915,693,737,027
  4. Step 4: Simplify right side
    4,915,693,737,027x = 36,246,067,374,374,134,149,545,984
  5. Step 5: Solve for x
    x = 36,246,067,374,374,134,149,545,984/4,915,693,737,027
  6. Step 6: Final answer
    x = 7,373,540,605,541.40

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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.