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Finding the Fourth Proportional to 11,512,368,657.60, 17,268,552,986.40 and 11,512,368,657.60

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Solution

The fourth proportional to 11,512,368,657.60, 17,268,552,986.40 and 11,512,368,657.60 is: 17,268,552,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512,368,657.60 : 17,268,552,986.40 = 11,512,368,657.60 : x
  2. Step 2: Convert to fraction form
    11,512,368,657.60/17,268,552,986.40 = 11,512,368,657.60/x
  3. Step 3: Cross multiply
    11,512,368,657.60x = 17,268,552,986.40 × 11,512,368,657.60
  4. Step 4: Simplify right side
    11,512,368,657.60x = 198,801,948,162,736,259,072
  5. Step 5: Solve for x
    x = 198,801,948,162,736,259,072/11,512,368,657.60
  6. Step 6: Final answer
    x = 17,268,552,986.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.