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Finding the Fourth Proportional to 533,851,401.80, 800,777,102.70 and 419,189,616.20

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Solution

The fourth proportional to 533,851,401.80, 800,777,102.70 and 419,189,616.20 is: 628,784,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,851,401.80 : 800,777,102.70 = 419,189,616.20 : x
  2. Step 2: Convert to fraction form
    533,851,401.80/800,777,102.70 = 419,189,616.20/x
  3. Step 3: Cross multiply
    533,851,401.80x = 800,777,102.70 × 419,189,616.20
  4. Step 4: Simplify right side
    533,851,401.80x = 335,677,446,342,561,024
  5. Step 5: Solve for x
    x = 335,677,446,342,561,024/533,851,401.80
  6. Step 6: Final answer
    x = 628,784,424.30

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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.