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Finding the Fourth Proportional to 5,097,788,451.20, 7,646,682,676.80 and 5,097,788,451.20

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Solution

The fourth proportional to 5,097,788,451.20, 7,646,682,676.80 and 5,097,788,451.20 is: 7,646,682,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097,788,451.20 : 7,646,682,676.80 = 5,097,788,451.20 : x
  2. Step 2: Convert to fraction form
    5,097,788,451.20/7,646,682,676.80 = 5,097,788,451.20/x
  3. Step 3: Cross multiply
    5,097,788,451.20x = 7,646,682,676.80 × 5,097,788,451.20
  4. Step 4: Simplify right side
    5,097,788,451.20x = 38,981,170,639,782,141,952
  5. Step 5: Solve for x
    x = 38,981,170,639,782,141,952/5,097,788,451.20
  6. Step 6: Final answer
    x = 7,646,682,676.80

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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.