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Finding the Fourth Proportional to 492,142,227.60, 738,213,341.40 and 492,142,227.60

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Solution

The fourth proportional to 492,142,227.60, 738,213,341.40 and 492,142,227.60 is: 738,213,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,142,227.60 : 738,213,341.40 = 492,142,227.60 : x
  2. Step 2: Convert to fraction form
    492,142,227.60/738,213,341.40 = 492,142,227.60/x
  3. Step 3: Cross multiply
    492,142,227.60x = 738,213,341.40 × 492,142,227.60
  4. Step 4: Simplify right side
    492,142,227.60x = 363,305,958,280,635,328
  5. Step 5: Solve for x
    x = 363,305,958,280,635,328/492,142,227.60
  6. Step 6: Final answer
    x = 738,213,341.40

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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.