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Finding the Fourth Proportional to 498,716,152.20, 746,373,617.10 and 498,716,152.20

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Solution

The fourth proportional to 498,716,152.20, 746,373,617.10 and 498,716,152.20 is: 746,373,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,716,152.20 : 746,373,617.10 = 498,716,152.20 : x
  2. Step 2: Convert to fraction form
    498,716,152.20/746,373,617.10 = 498,716,152.20/x
  3. Step 3: Cross multiply
    498,716,152.20x = 746,373,617.10 × 498,716,152.20
  4. Step 4: Simplify right side
    498,716,152.20x = 372,228,578,423,708,096
  5. Step 5: Solve for x
    x = 372,228,578,423,708,096/498,716,152.20
  6. Step 6: Final answer
    x = 746,373,617.10

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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.