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Finding the Fourth Proportional to 533,873,077.80, 800,809,616.70 and 419,211,292.20

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Solution

The fourth proportional to 533,873,077.80, 800,809,616.70 and 419,211,292.20 is: 628,816,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,873,077.80 : 800,809,616.70 = 419,211,292.20 : x
  2. Step 2: Convert to fraction form
    533,873,077.80/800,809,616.70 = 419,211,292.20/x
  3. Step 3: Cross multiply
    533,873,077.80x = 800,809,616.70 × 419,211,292.20
  4. Step 4: Simplify right side
    533,873,077.80x = 335,708,434,222,993,728
  5. Step 5: Solve for x
    x = 335,708,434,222,993,728/533,873,077.80
  6. Step 6: Final answer
    x = 628,816,938.30

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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.