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Finding the Fourth Proportional to 200,589,067.95, 280,250,738.85 and 200,589,067.95

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Solution

The fourth proportional to 200,589,067.95, 280,250,738.85 and 200,589,067.95 is: 280,250,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,589,067.95 : 280,250,738.85 = 200,589,067.95 : x
  2. Step 2: Convert to fraction form
    200,589,067.95/280,250,738.85 = 200,589,067.95/x
  3. Step 3: Cross multiply
    200,589,067.95x = 280,250,738.85 × 200,589,067.95
  4. Step 4: Simplify right side
    200,589,067.95x = 56,215,234,498,220,360
  5. Step 5: Solve for x
    x = 56,215,234,498,220,360/200,589,067.95
  6. Step 6: Final answer
    x = 280,250,738.85

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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.