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Finding the Fourth Proportional to 149,780,680.20, 209,976,067.80 and 149,780,680.20

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Solution

The fourth proportional to 149,780,680.20, 209,976,067.80 and 149,780,680.20 is: 209,976,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,780,680.20 : 209,976,067.80 = 149,780,680.20 : x
  2. Step 2: Convert to fraction form
    149,780,680.20/209,976,067.80 = 149,780,680.20/x
  3. Step 3: Cross multiply
    149,780,680.20x = 209,976,067.80 × 149,780,680.20
  4. Step 4: Simplify right side
    149,780,680.20x = 31,450,358,260,805,316
  5. Step 5: Solve for x
    x = 31,450,358,260,805,316/149,780,680.20
  6. Step 6: Final answer
    x = 209,976,067.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.