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Finding the Fourth Proportional to 477,942,379.20, 716,913,568.80 and 477,942,379.20

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Solution

The fourth proportional to 477,942,379.20, 716,913,568.80 and 477,942,379.20 is: 716,913,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,942,379.20 : 716,913,568.80 = 477,942,379.20 : x
  2. Step 2: Convert to fraction form
    477,942,379.20/716,913,568.80 = 477,942,379.20/x
  3. Step 3: Cross multiply
    477,942,379.20x = 716,913,568.80 × 477,942,379.20
  4. Step 4: Simplify right side
    477,942,379.20x = 342,643,376,753,034,880
  5. Step 5: Solve for x
    x = 342,643,376,753,034,880/477,942,379.20
  6. Step 6: Final answer
    x = 716,913,568.80

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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.