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Finding the Fourth Proportional to 136,486,296,023.40, 204,453,945,020.70 and 136,486,296,023.40

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Solution

The fourth proportional to 136,486,296,023.40, 204,453,945,020.70 and 136,486,296,023.40 is: 204,453,945,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,486,296,023.40 : 204,453,945,020.70 = 136,486,296,023.40 : x
  2. Step 2: Convert to fraction form
    136,486,296,023.40/204,453,945,020.70 = 136,486,296,023.40/x
  3. Step 3: Cross multiply
    136,486,296,023.40x = 204,453,945,020.70 × 136,486,296,023.40
  4. Step 4: Simplify right side
    136,486,296,023.40x = 27,905,161,663,247,208,677,376
  5. Step 5: Solve for x
    x = 27,905,161,663,247,208,677,376/136,486,296,023.40
  6. Step 6: Final answer
    x = 204,453,945,020.70

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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.