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Finding the Fourth Proportional to 136,486,296,022.40, 204,453,945,019.20 and 136,486,296,022.40

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Solution

The fourth proportional to 136,486,296,022.40, 204,453,945,019.20 and 136,486,296,022.40 is: 204,453,945,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,486,296,022.40 : 204,453,945,019.20 = 136,486,296,022.40 : x
  2. Step 2: Convert to fraction form
    136,486,296,022.40/204,453,945,019.20 = 136,486,296,022.40/x
  3. Step 3: Cross multiply
    136,486,296,022.40x = 204,453,945,019.20 × 136,486,296,022.40
  4. Step 4: Simplify right side
    136,486,296,022.40x = 27,905,161,662,838,024,962,048
  5. Step 5: Solve for x
    x = 27,905,161,662,838,024,962,048/136,486,296,022.40
  6. Step 6: Final answer
    x = 204,453,945,019.20

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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.