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Finding the Fourth Proportional to 4,480,452,033.30, 6,707,764,033.64 and 4,480,452,033.30

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Solution

The fourth proportional to 4,480,452,033.30, 6,707,764,033.64 and 4,480,452,033.30 is: 6,707,764,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480,452,033.30 : 6,707,764,033.64 = 4,480,452,033.30 : x
  2. Step 2: Convert to fraction form
    4,480,452,033.30/6,707,764,033.64 = 4,480,452,033.30/x
  3. Step 3: Cross multiply
    4,480,452,033.30x = 6,707,764,033.64 × 4,480,452,033.30
  4. Step 4: Simplify right side
    4,480,452,033.30x = 30,053,815,003,418,951,680
  5. Step 5: Solve for x
    x = 30,053,815,003,418,951,680/4,480,452,033.30
  6. Step 6: Final answer
    x = 6,707,764,033.64

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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.