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Finding the Fourth Proportional to 68,098,401,194.40, 102,147,601,791.60 and 68,098,401,194.40

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Solution

The fourth proportional to 68,098,401,194.40, 102,147,601,791.60 and 68,098,401,194.40 is: 102,147,601,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,098,401,194.40 : 102,147,601,791.60 = 68,098,401,194.40 : x
  2. Step 2: Convert to fraction form
    68,098,401,194.40/102,147,601,791.60 = 68,098,401,194.40/x
  3. Step 3: Cross multiply
    68,098,401,194.40x = 102,147,601,791.60 × 68,098,401,194.40
  4. Step 4: Simplify right side
    68,098,401,194.40x = 6,956,088,367,850,189,750,272
  5. Step 5: Solve for x
    x = 6,956,088,367,850,189,750,272/68,098,401,194.40
  6. Step 6: Final answer
    x = 102,147,601,791.60

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1.5x scale

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.