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Finding the Fourth Proportional to 449,078,509.80, 673,617,764.70 and 254,914,900.20

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Solution

The fourth proportional to 449,078,509.80, 673,617,764.70 and 254,914,900.20 is: 382,372,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,078,509.80 : 673,617,764.70 = 254,914,900.20 : x
  2. Step 2: Convert to fraction form
    449,078,509.80/673,617,764.70 = 254,914,900.20/x
  3. Step 3: Cross multiply
    449,078,509.80x = 673,617,764.70 × 254,914,900.20
  4. Step 4: Simplify right side
    449,078,509.80x = 171,715,205,261,447,584
  5. Step 5: Solve for x
    x = 171,715,205,261,447,584/449,078,509.80
  6. Step 6: Final answer
    x = 382,372,350.30

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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.