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Finding the Fourth Proportional to 255,647,425.80, 383,471,138.70 and 213,132,145.80

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Solution

The fourth proportional to 255,647,425.80, 383,471,138.70 and 213,132,145.80 is: 319,698,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,647,425.80 : 383,471,138.70 = 213,132,145.80 : x
  2. Step 2: Convert to fraction form
    255,647,425.80/383,471,138.70 = 213,132,145.80/x
  3. Step 3: Cross multiply
    255,647,425.80x = 383,471,138.70 × 213,132,145.80
  4. Step 4: Simplify right side
    255,647,425.80x = 81,730,026,643,500,432
  5. Step 5: Solve for x
    x = 81,730,026,643,500,432/255,647,425.80
  6. Step 6: Final answer
    x = 319,698,218.70

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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.