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Finding the Fourth Proportional to 363,130,456,363.20, 543,716,132,493.60 and 363,130,456,363.20

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Solution

The fourth proportional to 363,130,456,363.20, 543,716,132,493.60 and 363,130,456,363.20 is: 543,716,132,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,130,456,363.20 : 543,716,132,493.60 = 363,130,456,363.20 : x
  2. Step 2: Convert to fraction form
    363,130,456,363.20/543,716,132,493.60 = 363,130,456,363.20/x
  3. Step 3: Cross multiply
    363,130,456,363.20x = 543,716,132,493.60 × 363,130,456,363.20
  4. Step 4: Simplify right side
    363,130,456,363.20x = 197,439,887,324,435,095,486,464
  5. Step 5: Solve for x
    x = 197,439,887,324,435,095,486,464/363,130,456,363.20
  6. Step 6: Final answer
    x = 543,716,132,493.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.