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Finding the Fourth Proportional to 5,410,365,947.90, 8,115,548,921.85 and 5,410,365,947.90

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Solution

The fourth proportional to 5,410,365,947.90, 8,115,548,921.85 and 5,410,365,947.90 is: 8,115,548,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,365,947.90 : 8,115,548,921.85 = 5,410,365,947.90 : x
  2. Step 2: Convert to fraction form
    5,410,365,947.90/8,115,548,921.85 = 5,410,365,947.90/x
  3. Step 3: Cross multiply
    5,410,365,947.90x = 8,115,548,921.85 × 5,410,365,947.90
  4. Step 4: Simplify right side
    5,410,365,947.90x = 43,908,089,535,293,800,448
  5. Step 5: Solve for x
    x = 43,908,089,535,293,800,448/5,410,365,947.90
  6. Step 6: Final answer
    x = 8,115,548,921.85

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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.