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Finding the Fourth Proportional to 728,275,501.10, 1,092,413,251.65 and 728,275,501.10

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Solution

The fourth proportional to 728,275,501.10, 1,092,413,251.65 and 728,275,501.10 is: 1,092,413,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,275,501.10 : 1,092,413,251.65 = 728,275,501.10 : x
  2. Step 2: Convert to fraction form
    728,275,501.10/1,092,413,251.65 = 728,275,501.10/x
  3. Step 3: Cross multiply
    728,275,501.10x = 1,092,413,251.65 × 728,275,501.10
  4. Step 4: Simplify right side
    728,275,501.10x = 795,577,808,253,684,224
  5. Step 5: Solve for x
    x = 795,577,808,253,684,224/728,275,501.10
  6. Step 6: Final answer
    x = 1,092,413,251.65

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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.