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Finding the Fourth Proportional to 275,803,083.20, 413,704,624.80 and 194,173,745.60

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Solution

The fourth proportional to 275,803,083.20, 413,704,624.80 and 194,173,745.60 is: 291,260,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,803,083.20 : 413,704,624.80 = 194,173,745.60 : x
  2. Step 2: Convert to fraction form
    275,803,083.20/413,704,624.80 = 194,173,745.60/x
  3. Step 3: Cross multiply
    275,803,083.20x = 413,704,624.80 × 194,173,745.60
  4. Step 4: Simplify right side
    275,803,083.20x = 80,330,576,569,458,656
  5. Step 5: Solve for x
    x = 80,330,576,569,458,656/275,803,083.20
  6. Step 6: Final answer
    x = 291,260,618.40

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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.