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Finding the Fourth Proportional to 425,873,401.80, 638,810,102.70 and 280,471,144.20

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Solution

The fourth proportional to 425,873,401.80, 638,810,102.70 and 280,471,144.20 is: 420,706,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,873,401.80 : 638,810,102.70 = 280,471,144.20 : x
  2. Step 2: Convert to fraction form
    425,873,401.80/638,810,102.70 = 280,471,144.20/x
  3. Step 3: Cross multiply
    425,873,401.80x = 638,810,102.70 × 280,471,144.20
  4. Step 4: Simplify right side
    425,873,401.80x = 179,167,800,430,788,512
  5. Step 5: Solve for x
    x = 179,167,800,430,788,512/425,873,401.80
  6. Step 6: Final answer
    x = 420,706,716.30

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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.