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Finding the Fourth Proportional to 259,780,632,024.70, 389,670,948,037.05 and 259,780,632,024.70

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Solution

The fourth proportional to 259,780,632,024.70, 389,670,948,037.05 and 259,780,632,024.70 is: 389,670,948,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,780,632,024.70 : 389,670,948,037.05 = 259,780,632,024.70 : x
  2. Step 2: Convert to fraction form
    259,780,632,024.70/389,670,948,037.05 = 259,780,632,024.70/x
  3. Step 3: Cross multiply
    259,780,632,024.70x = 389,670,948,037.05 × 259,780,632,024.70
  4. Step 4: Simplify right side
    259,780,632,024.70x = 101,228,965,162,728,887,943,168
  5. Step 5: Solve for x
    x = 101,228,965,162,728,887,943,168/259,780,632,024.70
  6. Step 6: Final answer
    x = 389,670,948,037.05

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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.