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Finding the Fourth Proportional to 257,866,250.40, 386,799,375.60 and 176,236,912.80

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Solution

The fourth proportional to 257,866,250.40, 386,799,375.60 and 176,236,912.80 is: 264,355,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,866,250.40 : 386,799,375.60 = 176,236,912.80 : x
  2. Step 2: Convert to fraction form
    257,866,250.40/386,799,375.60 = 176,236,912.80/x
  3. Step 3: Cross multiply
    257,866,250.40x = 386,799,375.60 × 176,236,912.80
  4. Step 4: Simplify right side
    257,866,250.40x = 68,168,327,828,711,656
  5. Step 5: Solve for x
    x = 68,168,327,828,711,656/257,866,250.40
  6. Step 6: Final answer
    x = 264,355,369.20

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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.