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Finding the Fourth Proportional to 288,861,713.34, 398,629,164.40 and 165,105,047.67

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Solution

The fourth proportional to 288,861,713.34, 398,629,164.40 and 165,105,047.67 is: 227,844,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,861,713.34 : 398,629,164.40 = 165,105,047.67 : x
  2. Step 2: Convert to fraction form
    288,861,713.34/398,629,164.40 = 165,105,047.67/x
  3. Step 3: Cross multiply
    288,861,713.34x = 398,629,164.40 × 165,105,047.67
  4. Step 4: Simplify right side
    288,861,713.34x = 65,815,687,190,914,256
  5. Step 5: Solve for x
    x = 65,815,687,190,914,256/288,861,713.34
  6. Step 6: Final answer
    x = 227,844,965.78

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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.