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Finding the Fourth Proportional to 533,870,414.80, 800,805,622.20 and 419,208,629.20

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Solution

The fourth proportional to 533,870,414.80, 800,805,622.20 and 419,208,629.20 is: 628,812,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,870,414.80 : 800,805,622.20 = 419,208,629.20 : x
  2. Step 2: Convert to fraction form
    533,870,414.80/800,805,622.20 = 419,208,629.20/x
  3. Step 3: Cross multiply
    533,870,414.80x = 800,805,622.20 × 419,208,629.20
  4. Step 4: Simplify right side
    533,870,414.80x = 335,704,627,138,115,072
  5. Step 5: Solve for x
    x = 335,704,627,138,115,072/533,870,414.80
  6. Step 6: Final answer
    x = 628,812,943.80

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Why These Related Problems?

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