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Finding the Fourth Proportional to 118,098,116.80, 177,147,175.20 and 118,098,116.80

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Solution

The fourth proportional to 118,098,116.80, 177,147,175.20 and 118,098,116.80 is: 177,147,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,098,116.80 : 177,147,175.20 = 118,098,116.80 : x
  2. Step 2: Convert to fraction form
    118,098,116.80/177,147,175.20 = 118,098,116.80/x
  3. Step 3: Cross multiply
    118,098,116.80x = 177,147,175.20 × 118,098,116.80
  4. Step 4: Simplify right side
    118,098,116.80x = 20,920,747,787,559,660
  5. Step 5: Solve for x
    x = 20,920,747,787,559,660/118,098,116.80
  6. Step 6: Final answer
    x = 177,147,175.20

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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.