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Finding the Fourth Proportional to 477,059,344.80, 715,589,017.20 and 477,059,344.80

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Solution

The fourth proportional to 477,059,344.80, 715,589,017.20 and 477,059,344.80 is: 715,589,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,059,344.80 : 715,589,017.20 = 477,059,344.80 : x
  2. Step 2: Convert to fraction form
    477,059,344.80/715,589,017.20 = 477,059,344.80/x
  3. Step 3: Cross multiply
    477,059,344.80x = 715,589,017.20 × 477,059,344.80
  4. Step 4: Simplify right side
    477,059,344.80x = 341,378,427,691,507,968
  5. Step 5: Solve for x
    x = 341,378,427,691,507,968/477,059,344.80
  6. Step 6: Final answer
    x = 715,589,017.20

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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.