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Finding the Fourth Proportional to 360,897,870, 541,463,389.78 and 166,936,519.68

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Solution

The fourth proportional to 360,897,870, 541,463,389.78 and 166,936,519.68 is: 250,458,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,897,870 : 541,463,389.78 = 166,936,519.68 : x
  2. Step 2: Convert to fraction form
    360,897,870/541,463,389.78 = 166,936,519.68/x
  3. Step 3: Cross multiply
    360,897,870x = 541,463,389.78 × 166,936,519.68
  4. Step 4: Simplify right side
    360,897,870x = 90,390,013,824,008,480
  5. Step 5: Solve for x
    x = 90,390,013,824,008,480/360,897,870
  6. Step 6: Final answer
    x = 250,458,706.85

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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.