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Finding the Fourth Proportional to 248,023,298,993.60, 372,034,948,490.40 and 248,023,298,993.60

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Solution

The fourth proportional to 248,023,298,993.60, 372,034,948,490.40 and 248,023,298,993.60 is: 372,034,948,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,023,298,993.60 : 372,034,948,490.40 = 248,023,298,993.60 : x
  2. Step 2: Convert to fraction form
    248,023,298,993.60/372,034,948,490.40 = 248,023,298,993.60/x
  3. Step 3: Cross multiply
    248,023,298,993.60x = 372,034,948,490.40 × 248,023,298,993.60
  4. Step 4: Simplify right side
    248,023,298,993.60x = 92,273,335,265,503,068,815,360
  5. Step 5: Solve for x
    x = 92,273,335,265,503,068,815,360/248,023,298,993.60
  6. Step 6: Final answer
    x = 372,034,948,490.40

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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.