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Finding the Fourth Proportional to 798,428,793.15, 1,197,643,189.73 and 798,428,793.15

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Solution

The fourth proportional to 798,428,793.15, 1,197,643,189.73 and 798,428,793.15 is: 1,197,643,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,428,793.15 : 1,197,643,189.73 = 798,428,793.15 : x
  2. Step 2: Convert to fraction form
    798,428,793.15/1,197,643,189.73 = 798,428,793.15/x
  3. Step 3: Cross multiply
    798,428,793.15x = 1,197,643,189.73 × 798,428,793.15
  4. Step 4: Simplify right side
    798,428,793.15x = 956,232,806,596,448,128
  5. Step 5: Solve for x
    x = 956,232,806,596,448,128/798,428,793.15
  6. Step 6: Final answer
    x = 1,197,643,189.73

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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.