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Finding the Fourth Proportional to 168,006,774,116.80, 252,010,161,175.20 and 168,006,774,116.80

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Solution

The fourth proportional to 168,006,774,116.80, 252,010,161,175.20 and 168,006,774,116.80 is: 252,010,161,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,006,774,116.80 : 252,010,161,175.20 = 168,006,774,116.80 : x
  2. Step 2: Convert to fraction form
    168,006,774,116.80/252,010,161,175.20 = 168,006,774,116.80/x
  3. Step 3: Cross multiply
    168,006,774,116.80x = 252,010,161,175.20 × 168,006,774,116.80
  4. Step 4: Simplify right side
    168,006,774,116.80x = 42,339,414,223,700,189,249,536
  5. Step 5: Solve for x
    x = 42,339,414,223,700,189,249,536/168,006,774,116.80
  6. Step 6: Final answer
    x = 252,010,161,175.20

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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.