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Finding the Fourth Proportional to 3,298,907,266.20, 4,948,360,899.30 and 3,298,907,266.20

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Solution

The fourth proportional to 3,298,907,266.20, 4,948,360,899.30 and 3,298,907,266.20 is: 4,948,360,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298,907,266.20 : 4,948,360,899.30 = 3,298,907,266.20 : x
  2. Step 2: Convert to fraction form
    3,298,907,266.20/4,948,360,899.30 = 3,298,907,266.20/x
  3. Step 3: Cross multiply
    3,298,907,266.20x = 4,948,360,899.30 × 3,298,907,266.20
  4. Step 4: Simplify right side
    3,298,907,266.20x = 16,324,183,726,480,736,256
  5. Step 5: Solve for x
    x = 16,324,183,726,480,736,256/3,298,907,266.20
  6. Step 6: Final answer
    x = 4,948,360,899.30

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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.