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Finding the Fourth Proportional to 3,298,873,152.20, 4,948,309,728.30 and 3,298,873,152.20

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Solution

The fourth proportional to 3,298,873,152.20, 4,948,309,728.30 and 3,298,873,152.20 is: 4,948,309,728.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298,873,152.20 : 4,948,309,728.30 = 3,298,873,152.20 : x
  2. Step 2: Convert to fraction form
    3,298,873,152.20/4,948,309,728.30 = 3,298,873,152.20/x
  3. Step 3: Cross multiply
    3,298,873,152.20x = 4,948,309,728.30 × 3,298,873,152.20
  4. Step 4: Simplify right side
    3,298,873,152.20x = 16,323,846,111,458,947,072
  5. Step 5: Solve for x
    x = 16,323,846,111,458,947,072/3,298,873,152.20
  6. Step 6: Final answer
    x = 4,948,309,728.30

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Double scale
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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.