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Finding the Fourth Proportional to 807,516,819.20, 1,211,275,228.80 and 807,516,819.20

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Solution

The fourth proportional to 807,516,819.20, 1,211,275,228.80 and 807,516,819.20 is: 1,211,275,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,516,819.20 : 1,211,275,228.80 = 807,516,819.20 : x
  2. Step 2: Convert to fraction form
    807,516,819.20/1,211,275,228.80 = 807,516,819.20/x
  3. Step 3: Cross multiply
    807,516,819.20x = 1,211,275,228.80 × 807,516,819.20
  4. Step 4: Simplify right side
    807,516,819.20x = 978,125,119,936,328,192
  5. Step 5: Solve for x
    x = 978,125,119,936,328,192/807,516,819.20
  6. Step 6: Final answer
    x = 1,211,275,228.80

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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.