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Finding the Fourth Proportional to 542,999,233.90, 814,498,850.85 and 197,964,117.10

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Solution

The fourth proportional to 542,999,233.90, 814,498,850.85 and 197,964,117.10 is: 296,946,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,999,233.90 : 814,498,850.85 = 197,964,117.10 : x
  2. Step 2: Convert to fraction form
    542,999,233.90/814,498,850.85 = 197,964,117.10/x
  3. Step 3: Cross multiply
    542,999,233.90x = 814,498,850.85 × 197,964,117.10
  4. Step 4: Simplify right side
    542,999,233.90x = 161,241,545,887,484,832
  5. Step 5: Solve for x
    x = 161,241,545,887,484,832/542,999,233.90
  6. Step 6: Final answer
    x = 296,946,175.65

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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.