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Finding the Fourth Proportional to 68,958,902,274.78, 103,438,353,412.17 and 68,958,902,274.78

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Solution

The fourth proportional to 68,958,902,274.78, 103,438,353,412.17 and 68,958,902,274.78 is: 103,438,353,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,958,902,274.78 : 103,438,353,412.17 = 68,958,902,274.78 : x
  2. Step 2: Convert to fraction form
    68,958,902,274.78/103,438,353,412.17 = 68,958,902,274.78/x
  3. Step 3: Cross multiply
    68,958,902,274.78x = 103,438,353,412.17 × 68,958,902,274.78
  4. Step 4: Simplify right side
    68,958,902,274.78x = 7,132,995,304,413,986,816,000
  5. Step 5: Solve for x
    x = 7,132,995,304,413,986,816,000/68,958,902,274.78
  6. Step 6: Final answer
    x = 103,438,353,412.17

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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.