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Finding the Fourth Proportional to 257,998,453.58, 362,218,201.73 and 257,998,453.58

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Solution

The fourth proportional to 257,998,453.58, 362,218,201.73 and 257,998,453.58 is: 362,218,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,998,453.58 : 362,218,201.73 = 257,998,453.58 : x
  2. Step 2: Convert to fraction form
    257,998,453.58/362,218,201.73 = 257,998,453.58/x
  3. Step 3: Cross multiply
    257,998,453.58x = 362,218,201.73 × 257,998,453.58
  4. Step 4: Simplify right side
    257,998,453.58x = 93,451,735,901,767,392
  5. Step 5: Solve for x
    x = 93,451,735,901,767,392/257,998,453.58
  6. Step 6: Final answer
    x = 362,218,201.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.