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Finding the Fourth Proportional to 229,880,464.80, 344,988,658.80 and 161,856,016.80

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Solution

The fourth proportional to 229,880,464.80, 344,988,658.80 and 161,856,016.80 is: 242,902,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,880,464.80 : 344,988,658.80 = 161,856,016.80 : x
  2. Step 2: Convert to fraction form
    229,880,464.80/344,988,658.80 = 161,856,016.80/x
  3. Step 3: Cross multiply
    229,880,464.80x = 344,988,658.80 × 161,856,016.80
  4. Step 4: Simplify right side
    229,880,464.80x = 55,838,490,154,542,272
  5. Step 5: Solve for x
    x = 55,838,490,154,542,272/229,880,464.80
  6. Step 6: Final answer
    x = 242,902,284.90

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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.