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Finding the Fourth Proportional to 449,664,008.80, 674,496,013.20 and 347,627,336.80

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Solution

The fourth proportional to 449,664,008.80, 674,496,013.20 and 347,627,336.80 is: 521,441,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,664,008.80 : 674,496,013.20 = 347,627,336.80 : x
  2. Step 2: Convert to fraction form
    449,664,008.80/674,496,013.20 = 347,627,336.80/x
  3. Step 3: Cross multiply
    449,664,008.80x = 674,496,013.20 × 347,627,336.80
  4. Step 4: Simplify right side
    449,664,008.80x = 234,473,252,750,933,664
  5. Step 5: Solve for x
    x = 234,473,252,750,933,664/449,664,008.80
  6. Step 6: Final answer
    x = 521,441,005.20

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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.