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Finding the Fourth Proportional to 20,668,608,116.80, 31,002,912,175.20 and 20,668,608,116.80

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Solution

The fourth proportional to 20,668,608,116.80, 31,002,912,175.20 and 20,668,608,116.80 is: 31,002,912,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668,608,116.80 : 31,002,912,175.20 = 20,668,608,116.80 : x
  2. Step 2: Convert to fraction form
    20,668,608,116.80/31,002,912,175.20 = 20,668,608,116.80/x
  3. Step 3: Cross multiply
    20,668,608,116.80x = 31,002,912,175.20 × 20,668,608,116.80
  4. Step 4: Simplify right side
    20,668,608,116.80x = 640,787,042,228,776,206,336
  5. Step 5: Solve for x
    x = 640,787,042,228,776,206,336/20,668,608,116.80
  6. Step 6: Final answer
    x = 31,002,912,175.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.