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Finding the Fourth Proportional to 6,376,207,250,098, 9,564,310,875,147 and 6,376,207,250,098

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Solution

The fourth proportional to 6,376,207,250,098, 9,564,310,875,147 and 6,376,207,250,098 is: 9,564,310,875,147

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376,207,250,098 : 9,564,310,875,147 = 6,376,207,250,098 : x
  2. Step 2: Convert to fraction form
    6,376,207,250,098/9,564,310,875,147 = 6,376,207,250,098/x
  3. Step 3: Cross multiply
    6,376,207,250,098x = 9,564,310,875,147 × 6,376,207,250,098
  4. Step 4: Simplify right side
    6,376,207,250,098x = 60,984,028,344,303,451,574,894,592
  5. Step 5: Solve for x
    x = 60,984,028,344,303,451,574,894,592/6,376,207,250,098
  6. Step 6: Final answer
    x = 9,564,310,875,147

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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.