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Finding the Fourth Proportional to 85,999,099.65, 120,738,861.75 and 85,999,099.65

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Solution

The fourth proportional to 85,999,099.65, 120,738,861.75 and 85,999,099.65 is: 120,738,861.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,999,099.65 : 120,738,861.75 = 85,999,099.65 : x
  2. Step 2: Convert to fraction form
    85,999,099.65/120,738,861.75 = 85,999,099.65/x
  3. Step 3: Cross multiply
    85,999,099.65x = 120,738,861.75 × 85,999,099.65
  4. Step 4: Simplify right side
    85,999,099.65x = 10,383,433,403,265,824
  5. Step 5: Solve for x
    x = 10,383,433,403,265,824/85,999,099.65
  6. Step 6: Final answer
    x = 120,738,861.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.