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Finding the Fourth Proportional to 6,376,207,248,142, 9,564,310,872,212 and 6,376,207,248,142

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Solution

The fourth proportional to 6,376,207,248,142, 9,564,310,872,212 and 6,376,207,248,142 is: 9,564,310,872,212

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376,207,248,142 : 9,564,310,872,212 = 6,376,207,248,142 : x
  2. Step 2: Convert to fraction form
    6,376,207,248,142/9,564,310,872,212 = 6,376,207,248,142/x
  3. Step 3: Cross multiply
    6,376,207,248,142x = 9,564,310,872,212 × 6,376,207,248,142
  4. Step 4: Simplify right side
    6,376,207,248,142x = 60,984,028,306,881,487,424,192,512
  5. Step 5: Solve for x
    x = 60,984,028,306,881,487,424,192,512/6,376,207,248,142
  6. Step 6: Final answer
    x = 9,564,310,872,212

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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.