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Finding the Fourth Proportional to 271,296,643.80, 406,969,848.90 and 89,544,221.40

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Solution

The fourth proportional to 271,296,643.80, 406,969,848.90 and 89,544,221.40 is: 134,324,545.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,296,643.80 : 406,969,848.90 = 89,544,221.40 : x
  2. Step 2: Convert to fraction form
    271,296,643.80/406,969,848.90 = 89,544,221.40/x
  3. Step 3: Cross multiply
    271,296,643.80x = 406,969,848.90 × 89,544,221.40
  4. Step 4: Simplify right side
    271,296,643.80x = 36,441,798,253,026,144
  5. Step 5: Solve for x
    x = 36,441,798,253,026,144/271,296,643.80
  6. Step 6: Final answer
    x = 134,324,545.05

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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.