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Finding the Fourth Proportional to 115,893,504,003.12, 173,840,256,004.67 and 115,893,504,003.12

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Solution

The fourth proportional to 115,893,504,003.12, 173,840,256,004.67 and 115,893,504,003.12 is: 173,840,256,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,893,504,003.12 : 173,840,256,004.67 = 115,893,504,003.12 : x
  2. Step 2: Convert to fraction form
    115,893,504,003.12/173,840,256,004.67 = 115,893,504,003.12/x
  3. Step 3: Cross multiply
    115,893,504,003.12x = 173,840,256,004.67 × 115,893,504,003.12
  4. Step 4: Simplify right side
    115,893,504,003.12x = 20,146,956,405,180,628,729,856
  5. Step 5: Solve for x
    x = 20,146,956,405,180,628,729,856/115,893,504,003.12
  6. Step 6: Final answer
    x = 173,840,256,004.67

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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.