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Finding the Fourth Proportional to 382,002,110.90, 573,003,166.35 and 382,002,110.90

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Solution

The fourth proportional to 382,002,110.90, 573,003,166.35 and 382,002,110.90 is: 573,003,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,002,110.90 : 573,003,166.35 = 382,002,110.90 : x
  2. Step 2: Convert to fraction form
    382,002,110.90/573,003,166.35 = 382,002,110.90/x
  3. Step 3: Cross multiply
    382,002,110.90x = 573,003,166.35 × 382,002,110.90
  4. Step 4: Simplify right side
    382,002,110.90x = 218,888,419,098,083,840
  5. Step 5: Solve for x
    x = 218,888,419,098,083,840/382,002,110.90
  6. Step 6: Final answer
    x = 573,003,166.35

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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.