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Finding the Fourth Proportional to 721,783,340,277.60, 1,082,675,010,416.40 and 721,783,340,277.60

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Solution

The fourth proportional to 721,783,340,277.60, 1,082,675,010,416.40 and 721,783,340,277.60 is: 1,082,675,010,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,783,340,277.60 : 1,082,675,010,416.40 = 721,783,340,277.60 : x
  2. Step 2: Convert to fraction form
    721,783,340,277.60/1,082,675,010,416.40 = 721,783,340,277.60/x
  3. Step 3: Cross multiply
    721,783,340,277.60x = 1,082,675,010,416.40 × 721,783,340,277.60
  4. Step 4: Simplify right side
    721,783,340,277.60x = 781,456,785,453,434,512,867,328
  5. Step 5: Solve for x
    x = 781,456,785,453,434,512,867,328/721,783,340,277.60
  6. Step 6: Final answer
    x = 1,082,675,010,416.40

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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.