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Finding the Fourth Proportional to 253,762,341.60, 380,218,359.60 and 217,199,200.80

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Solution

The fourth proportional to 253,762,341.60, 380,218,359.60 and 217,199,200.80 is: 325,434,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,762,341.60 : 380,218,359.60 = 217,199,200.80 : x
  2. Step 2: Convert to fraction form
    253,762,341.60/380,218,359.60 = 217,199,200.80/x
  3. Step 3: Cross multiply
    253,762,341.60x = 380,218,359.60 × 217,199,200.80
  4. Step 4: Simplify right side
    253,762,341.60x = 82,583,123,834,607,024
  5. Step 5: Solve for x
    x = 82,583,123,834,607,024/253,762,341.60
  6. Step 6: Final answer
    x = 325,434,906.20

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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.