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Finding the Fourth Proportional to 40,866,336,098.40, 61,299,504,147.60 and 40,866,336,098.40

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Solution

The fourth proportional to 40,866,336,098.40, 61,299,504,147.60 and 40,866,336,098.40 is: 61,299,504,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,866,336,098.40 : 61,299,504,147.60 = 40,866,336,098.40 : x
  2. Step 2: Convert to fraction form
    40,866,336,098.40/61,299,504,147.60 = 40,866,336,098.40/x
  3. Step 3: Cross multiply
    40,866,336,098.40x = 61,299,504,147.60 × 40,866,336,098.40
  4. Step 4: Simplify right side
    40,866,336,098.40x = 2,505,086,139,161,086,263,296
  5. Step 5: Solve for x
    x = 2,505,086,139,161,086,263,296/40,866,336,098.40
  6. Step 6: Final answer
    x = 61,299,504,147.60

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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.