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Finding the Fourth Proportional to 85,999,314.90, 120,739,163.10 and 85,999,314.90

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Solution

The fourth proportional to 85,999,314.90, 120,739,163.10 and 85,999,314.90 is: 120,739,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,999,314.90 : 120,739,163.10 = 85,999,314.90 : x
  2. Step 2: Convert to fraction form
    85,999,314.90/120,739,163.10 = 85,999,314.90/x
  3. Step 3: Cross multiply
    85,999,314.90x = 120,739,163.10 × 85,999,314.90
  4. Step 4: Simplify right side
    85,999,314.90x = 10,383,485,308,199,360
  5. Step 5: Solve for x
    x = 10,383,485,308,199,360/85,999,314.90
  6. Step 6: Final answer
    x = 120,739,163.10

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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.