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Finding the Fourth Proportional to 85,100,580,003.90, 127,650,870,005.85 and 85,100,580,003.90

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Solution

The fourth proportional to 85,100,580,003.90, 127,650,870,005.85 and 85,100,580,003.90 is: 127,650,870,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,100,580,003.90 : 127,650,870,005.85 = 85,100,580,003.90 : x
  2. Step 2: Convert to fraction form
    85,100,580,003.90/127,650,870,005.85 = 85,100,580,003.90/x
  3. Step 3: Cross multiply
    85,100,580,003.90x = 127,650,870,005.85 × 85,100,580,003.90
  4. Step 4: Simplify right side
    85,100,580,003.90x = 10,863,163,075,500,275,924,992
  5. Step 5: Solve for x
    x = 10,863,163,075,500,275,924,992/85,100,580,003.90
  6. Step 6: Final answer
    x = 127,650,870,005.85

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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.