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Finding the Fourth Proportional to 5,504,684,718.15, 8,257,027,077.23 and 5,504,684,718.15

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Solution

The fourth proportional to 5,504,684,718.15, 8,257,027,077.23 and 5,504,684,718.15 is: 8,257,027,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504,684,718.15 : 8,257,027,077.23 = 5,504,684,718.15 : x
  2. Step 2: Convert to fraction form
    5,504,684,718.15/8,257,027,077.23 = 5,504,684,718.15/x
  3. Step 3: Cross multiply
    5,504,684,718.15x = 8,257,027,077.23 × 5,504,684,718.15
  4. Step 4: Simplify right side
    5,504,684,718.15x = 45,452,330,769,351,213,056
  5. Step 5: Solve for x
    x = 45,452,330,769,351,213,056/5,504,684,718.15
  6. Step 6: Final answer
    x = 8,257,027,077.23

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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.