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Finding the Fourth Proportional to 201,644,760.90, 301,711,314.15 and 133,620,312.90

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Solution

The fourth proportional to 201,644,760.90, 301,711,314.15 and 133,620,312.90 is: 199,929,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644,760.90 : 301,711,314.15 = 133,620,312.90 : x
  2. Step 2: Convert to fraction form
    201,644,760.90/301,711,314.15 = 133,620,312.90/x
  3. Step 3: Cross multiply
    201,644,760.90x = 301,711,314.15 × 133,620,312.90
  4. Step 4: Simplify right side
    201,644,760.90x = 40,314,760,202,193,200
  5. Step 5: Solve for x
    x = 40,314,760,202,193,200/201,644,760.90
  6. Step 6: Final answer
    x = 199,929,618.91

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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.