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Finding the Fourth Proportional to 81,647,999.40, 114,458,364.60 and 81,647,999.40

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Solution

The fourth proportional to 81,647,999.40, 114,458,364.60 and 81,647,999.40 is: 114,458,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,647,999.40 : 114,458,364.60 = 81,647,999.40 : x
  2. Step 2: Convert to fraction form
    81,647,999.40/114,458,364.60 = 81,647,999.40/x
  3. Step 3: Cross multiply
    81,647,999.40x = 114,458,364.60 × 81,647,999.40
  4. Step 4: Simplify right side
    81,647,999.40x = 9,345,296,484,185,782
  5. Step 5: Solve for x
    x = 9,345,296,484,185,782/81,647,999.40
  6. Step 6: Final answer
    x = 114,458,364.60

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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.