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Finding the Fourth Proportional to 819,418,533.10, 1,229,127,799.65 and 819,418,533.10

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Solution

The fourth proportional to 819,418,533.10, 1,229,127,799.65 and 819,418,533.10 is: 1,229,127,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,418,533.10 : 1,229,127,799.65 = 819,418,533.10 : x
  2. Step 2: Convert to fraction form
    819,418,533.10/1,229,127,799.65 = 819,418,533.10/x
  3. Step 3: Cross multiply
    819,418,533.10x = 1,229,127,799.65 × 819,418,533.10
  4. Step 4: Simplify right side
    819,418,533.10x = 1,007,170,098,581,633,792
  5. Step 5: Solve for x
    x = 1,007,170,098,581,633,792/819,418,533.10
  6. Step 6: Final answer
    x = 1,229,127,799.65

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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.