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Finding the Fourth Proportional to 185,647,514.70, 278,471,272.05 and 185,647,514.70

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Solution

The fourth proportional to 185,647,514.70, 278,471,272.05 and 185,647,514.70 is: 278,471,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,647,514.70 : 278,471,272.05 = 185,647,514.70 : x
  2. Step 2: Convert to fraction form
    185,647,514.70/278,471,272.05 = 185,647,514.70/x
  3. Step 3: Cross multiply
    185,647,514.70x = 278,471,272.05 × 185,647,514.70
  4. Step 4: Simplify right side
    185,647,514.70x = 51,697,499,571,430,072
  5. Step 5: Solve for x
    x = 51,697,499,571,430,072/185,647,514.70
  6. Step 6: Final answer
    x = 278,471,272.05

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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.