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Finding the Fourth Proportional to 5,410,365,915.15, 8,115,548,872.73 and 5,410,365,915.15

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Solution

The fourth proportional to 5,410,365,915.15, 8,115,548,872.73 and 5,410,365,915.15 is: 8,115,548,872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,365,915.15 : 8,115,548,872.73 = 5,410,365,915.15 : x
  2. Step 2: Convert to fraction form
    5,410,365,915.15/8,115,548,872.73 = 5,410,365,915.15/x
  3. Step 3: Cross multiply
    5,410,365,915.15x = 8,115,548,872.73 × 5,410,365,915.15
  4. Step 4: Simplify right side
    5,410,365,915.15x = 43,908,089,003,725,340,672
  5. Step 5: Solve for x
    x = 43,908,089,003,725,340,672/5,410,365,915.15
  6. Step 6: Final answer
    x = 8,115,548,872.73

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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.