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Finding the Fourth Proportional to 296,353,227.42, 408,967,453.80 and 165,973,035.42

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Solution

The fourth proportional to 296,353,227.42, 408,967,453.80 and 165,973,035.42 is: 229,042,788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,353,227.42 : 408,967,453.80 = 165,973,035.42 : x
  2. Step 2: Convert to fraction form
    296,353,227.42/408,967,453.80 = 165,973,035.42/x
  3. Step 3: Cross multiply
    296,353,227.42x = 408,967,453.80 × 165,973,035.42
  4. Step 4: Simplify right side
    296,353,227.42x = 67,877,569,695,174,608
  5. Step 5: Solve for x
    x = 67,877,569,695,174,608/296,353,227.42
  6. Step 6: Final answer
    x = 229,042,788.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.