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Finding the Fourth Proportional to 408,074,860.50, 611,749,791.42 and 159,022,466.52

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Solution

The fourth proportional to 408,074,860.50, 611,749,791.42 and 159,022,466.52 is: 238,392,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,074,860.50 : 611,749,791.42 = 159,022,466.52 : x
  2. Step 2: Convert to fraction form
    408,074,860.50/611,749,791.42 = 159,022,466.52/x
  3. Step 3: Cross multiply
    408,074,860.50x = 611,749,791.42 × 159,022,466.52
  4. Step 4: Simplify right side
    408,074,860.50x = 97,281,960,724,703,936
  5. Step 5: Solve for x
    x = 97,281,960,724,703,936/408,074,860.50
  6. Step 6: Final answer
    x = 238,392,437.62

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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.