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Finding the Fourth Proportional to 185,647,532.45, 278,471,298.68 and 185,647,532.45

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Solution

The fourth proportional to 185,647,532.45, 278,471,298.68 and 185,647,532.45 is: 278,471,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,647,532.45 : 278,471,298.68 = 185,647,532.45 : x
  2. Step 2: Convert to fraction form
    185,647,532.45/278,471,298.68 = 185,647,532.45/x
  3. Step 3: Cross multiply
    185,647,532.45x = 278,471,298.68 × 185,647,532.45
  4. Step 4: Simplify right side
    185,647,532.45x = 51,697,509,458,088,944
  5. Step 5: Solve for x
    x = 51,697,509,458,088,944/185,647,532.45
  6. Step 6: Final answer
    x = 278,471,298.68

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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.