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Finding the Fourth Proportional to 18,170,863,205.10, 27,256,294,807.65 and 18,170,863,205.10

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Solution

The fourth proportional to 18,170,863,205.10, 27,256,294,807.65 and 18,170,863,205.10 is: 27,256,294,807.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,170,863,205.10 : 27,256,294,807.65 = 18,170,863,205.10 : x
  2. Step 2: Convert to fraction form
    18,170,863,205.10/27,256,294,807.65 = 18,170,863,205.10/x
  3. Step 3: Cross multiply
    18,170,863,205.10x = 27,256,294,807.65 × 18,170,863,205.10
  4. Step 4: Simplify right side
    18,170,863,205.10x = 495,270,404,427,685,560,320
  5. Step 5: Solve for x
    x = 495,270,404,427,685,560,320/18,170,863,205.10
  6. Step 6: Final answer
    x = 27,256,294,807.65

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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.