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Finding the Fourth Proportional to 180,990,902.80, 271,486,354.20 and 180,990,902.80

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Solution

The fourth proportional to 180,990,902.80, 271,486,354.20 and 180,990,902.80 is: 271,486,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,990,902.80 : 271,486,354.20 = 180,990,902.80 : x
  2. Step 2: Convert to fraction form
    180,990,902.80/271,486,354.20 = 180,990,902.80/x
  3. Step 3: Cross multiply
    180,990,902.80x = 271,486,354.20 × 180,990,902.80
  4. Step 4: Simplify right side
    180,990,902.80x = 49,136,560,344,538,576
  5. Step 5: Solve for x
    x = 49,136,560,344,538,576/180,990,902.80
  6. Step 6: Final answer
    x = 271,486,354.20

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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.