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Finding the Fourth Proportional to 533,870,410.80, 800,805,616.20 and 419,208,625.20

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Solution

The fourth proportional to 533,870,410.80, 800,805,616.20 and 419,208,625.20 is: 628,812,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,870,410.80 : 800,805,616.20 = 419,208,625.20 : x
  2. Step 2: Convert to fraction form
    533,870,410.80/800,805,616.20 = 419,208,625.20/x
  3. Step 3: Cross multiply
    533,870,410.80x = 800,805,616.20 × 419,208,625.20
  4. Step 4: Simplify right side
    533,870,410.80x = 335,704,621,419,640,832
  5. Step 5: Solve for x
    x = 335,704,621,419,640,832/533,870,410.80
  6. Step 6: Final answer
    x = 628,812,937.80

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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.