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Finding the Fourth Proportional to 814,921,567.68, 1,222,382,351.52 and 814,921,567.68

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Solution

The fourth proportional to 814,921,567.68, 1,222,382,351.52 and 814,921,567.68 is: 1,222,382,351.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,921,567.68 : 1,222,382,351.52 = 814,921,567.68 : x
  2. Step 2: Convert to fraction form
    814,921,567.68/1,222,382,351.52 = 814,921,567.68/x
  3. Step 3: Cross multiply
    814,921,567.68x = 1,222,382,351.52 × 814,921,567.68
  4. Step 4: Simplify right side
    814,921,567.68x = 996,145,742,205,043,200
  5. Step 5: Solve for x
    x = 996,145,742,205,043,200/814,921,567.68
  6. Step 6: Final answer
    x = 1,222,382,351.52

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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.