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Finding the Fourth Proportional to 85,100,544,022.15, 127,650,816,033.22 and 85,100,544,022.15

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Solution

The fourth proportional to 85,100,544,022.15, 127,650,816,033.22 and 85,100,544,022.15 is: 127,650,816,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,100,544,022.15 : 127,650,816,033.22 = 85,100,544,022.15 : x
  2. Step 2: Convert to fraction form
    85,100,544,022.15/127,650,816,033.22 = 85,100,544,022.15/x
  3. Step 3: Cross multiply
    85,100,544,022.15x = 127,650,816,033.22 × 85,100,544,022.15
  4. Step 4: Simplify right side
    85,100,544,022.15x = 10,863,153,889,298,408,800,256
  5. Step 5: Solve for x
    x = 10,863,153,889,298,408,800,256/85,100,544,022.15
  6. Step 6: Final answer
    x = 127,650,816,033.22

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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.