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Finding the Fourth Proportional to 280,882,003.80, 420,501,860.10 and 200,260,435.80

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Solution

The fourth proportional to 280,882,003.80, 420,501,860.10 and 200,260,435.80 is: 299,805,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,882,003.80 : 420,501,860.10 = 200,260,435.80 : x
  2. Step 2: Convert to fraction form
    280,882,003.80/420,501,860.10 = 200,260,435.80/x
  3. Step 3: Cross multiply
    280,882,003.80x = 420,501,860.10 × 200,260,435.80
  4. Step 4: Simplify right side
    280,882,003.80x = 84,209,885,758,336,640
  5. Step 5: Solve for x
    x = 84,209,885,758,336,640/280,882,003.80
  6. Step 6: Final answer
    x = 299,805,201.54

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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.