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Finding the Fourth Proportional to 96,545,641,676.80, 144,818,462,515.20 and 96,545,641,676.80

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Solution

The fourth proportional to 96,545,641,676.80, 144,818,462,515.20 and 96,545,641,676.80 is: 144,818,462,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,545,641,676.80 : 144,818,462,515.20 = 96,545,641,676.80 : x
  2. Step 2: Convert to fraction form
    96,545,641,676.80/144,818,462,515.20 = 96,545,641,676.80/x
  3. Step 3: Cross multiply
    96,545,641,676.80x = 144,818,462,515.20 × 96,545,641,676.80
  4. Step 4: Simplify right side
    96,545,641,676.80x = 13,981,591,390,177,592,344,576
  5. Step 5: Solve for x
    x = 13,981,591,390,177,592,344,576/96,545,641,676.80
  6. Step 6: Final answer
    x = 144,818,462,515.20

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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.