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Finding the Fourth Proportional to 348,513,740,462.80, 522,770,610,694.20 and 348,513,740,462.80

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Solution

The fourth proportional to 348,513,740,462.80, 522,770,610,694.20 and 348,513,740,462.80 is: 522,770,610,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,513,740,462.80 : 522,770,610,694.20 = 348,513,740,462.80 : x
  2. Step 2: Convert to fraction form
    348,513,740,462.80/522,770,610,694.20 = 348,513,740,462.80/x
  3. Step 3: Cross multiply
    348,513,740,462.80x = 522,770,610,694.20 × 348,513,740,462.80
  4. Step 4: Simplify right side
    348,513,740,462.80x = 182,192,740,937,057,869,758,464
  5. Step 5: Solve for x
    x = 182,192,740,937,057,869,758,464/348,513,740,462.80
  6. Step 6: Final answer
    x = 522,770,610,694.20

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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.