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Finding the Fourth Proportional to 68,958,902,326.15, 103,438,353,489.23 and 68,958,902,326.15

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Solution

The fourth proportional to 68,958,902,326.15, 103,438,353,489.23 and 68,958,902,326.15 is: 103,438,353,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,958,902,326.15 : 103,438,353,489.23 = 68,958,902,326.15 : x
  2. Step 2: Convert to fraction form
    68,958,902,326.15/103,438,353,489.23 = 68,958,902,326.15/x
  3. Step 3: Cross multiply
    68,958,902,326.15x = 103,438,353,489.23 × 68,958,902,326.15
  4. Step 4: Simplify right side
    68,958,902,326.15x = 7,132,995,315,041,587,691,520
  5. Step 5: Solve for x
    x = 7,132,995,315,041,587,691,520/68,958,902,326.15
  6. Step 6: Final answer
    x = 103,438,353,489.23

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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.