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Finding the Fourth Proportional to 542,275,442.40, 813,413,163.60 and 173,809,682.40

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Solution

The fourth proportional to 542,275,442.40, 813,413,163.60 and 173,809,682.40 is: 260,714,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,275,442.40 : 813,413,163.60 = 173,809,682.40 : x
  2. Step 2: Convert to fraction form
    542,275,442.40/813,413,163.60 = 173,809,682.40/x
  3. Step 3: Cross multiply
    542,275,442.40x = 813,413,163.60 × 173,809,682.40
  4. Step 4: Simplify right side
    542,275,442.40x = 141,379,083,625,295,248
  5. Step 5: Solve for x
    x = 141,379,083,625,295,248/542,275,442.40
  6. Step 6: Final answer
    x = 260,714,523.60

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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.