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Finding the Fourth Proportional to 494,652,176.20, 741,978,264.30 and 322,465,292.20

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Solution

The fourth proportional to 494,652,176.20, 741,978,264.30 and 322,465,292.20 is: 483,697,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,652,176.20 : 741,978,264.30 = 322,465,292.20 : x
  2. Step 2: Convert to fraction form
    494,652,176.20/741,978,264.30 = 322,465,292.20/x
  3. Step 3: Cross multiply
    494,652,176.20x = 741,978,264.30 × 322,465,292.20
  4. Step 4: Simplify right side
    494,652,176.20x = 239,262,237,803,548,320
  5. Step 5: Solve for x
    x = 239,262,237,803,548,320/494,652,176.20
  6. Step 6: Final answer
    x = 483,697,938.30

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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.