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Finding the Fourth Proportional to 408,188,684.21, 563,348,206.49 and 232,003,163.39

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Solution

The fourth proportional to 408,188,684.21, 563,348,206.49 and 232,003,163.39 is: 320,191,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,188,684.21 : 563,348,206.49 = 232,003,163.39 : x
  2. Step 2: Convert to fraction form
    408,188,684.21/563,348,206.49 = 232,003,163.39/x
  3. Step 3: Cross multiply
    408,188,684.21x = 563,348,206.49 × 232,003,163.39
  4. Step 4: Simplify right side
    408,188,684.21x = 130,698,565,991,786,176
  5. Step 5: Solve for x
    x = 130,698,565,991,786,176/408,188,684.21
  6. Step 6: Final answer
    x = 320,191,546.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.