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Finding the Fourth Proportional to 854,361,942.70, 1,281,542,914.05 and 854,361,942.70

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Solution

The fourth proportional to 854,361,942.70, 1,281,542,914.05 and 854,361,942.70 is: 1,281,542,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,361,942.70 : 1,281,542,914.05 = 854,361,942.70 : x
  2. Step 2: Convert to fraction form
    854,361,942.70/1,281,542,914.05 = 854,361,942.70/x
  3. Step 3: Cross multiply
    854,361,942.70x = 1,281,542,914.05 × 854,361,942.70
  4. Step 4: Simplify right side
    854,361,942.70x = 1,094,901,493,701,177,088
  5. Step 5: Solve for x
    x = 1,094,901,493,701,177,088/854,361,942.70
  6. Step 6: Final answer
    x = 1,281,542,914.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.