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Finding the Fourth Proportional to 382,473,163.80, 573,709,745.70 and 123,714,540.90

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Solution

The fourth proportional to 382,473,163.80, 573,709,745.70 and 123,714,540.90 is: 185,571,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,473,163.80 : 573,709,745.70 = 123,714,540.90 : x
  2. Step 2: Convert to fraction form
    382,473,163.80/573,709,745.70 = 123,714,540.90/x
  3. Step 3: Cross multiply
    382,473,163.80x = 573,709,745.70 × 123,714,540.90
  4. Step 4: Simplify right side
    382,473,163.80x = 70,976,237,799,131,256
  5. Step 5: Solve for x
    x = 70,976,237,799,131,256/382,473,163.80
  6. Step 6: Final answer
    x = 185,571,811.35

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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.