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Finding the Fourth Proportional to 477,313,106.20, 715,969,659.30 and 477,313,106.20

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Solution

The fourth proportional to 477,313,106.20, 715,969,659.30 and 477,313,106.20 is: 715,969,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,313,106.20 : 715,969,659.30 = 477,313,106.20 : x
  2. Step 2: Convert to fraction form
    477,313,106.20/715,969,659.30 = 477,313,106.20/x
  3. Step 3: Cross multiply
    477,313,106.20x = 715,969,659.30 × 477,313,106.20
  4. Step 4: Simplify right side
    477,313,106.20x = 341,741,702,025,438,656
  5. Step 5: Solve for x
    x = 341,741,702,025,438,656/477,313,106.20
  6. Step 6: Final answer
    x = 715,969,659.30

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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.