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Finding the Fourth Proportional to 6,376,207,248,049, 9,564,310,872,072 and 6,376,207,248,049

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Solution

The fourth proportional to 6,376,207,248,049, 9,564,310,872,072 and 6,376,207,248,049 is: 9,564,310,872,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376,207,248,049 : 9,564,310,872,072 = 6,376,207,248,049 : x
  2. Step 2: Convert to fraction form
    6,376,207,248,049/9,564,310,872,072 = 6,376,207,248,049/x
  3. Step 3: Cross multiply
    6,376,207,248,049x = 9,564,310,872,072 × 6,376,207,248,049
  4. Step 4: Simplify right side
    6,376,207,248,049x = 60,984,028,305,099,342,284,324,864
  5. Step 5: Solve for x
    x = 60,984,028,305,099,342,284,324,864/6,376,207,248,049
  6. Step 6: Final answer
    x = 9,564,310,872,072

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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.