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Finding the Fourth Proportional to 460,846,287,797.70, 691,269,431,696.55 and 460,846,287,797.70

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Solution

The fourth proportional to 460,846,287,797.70, 691,269,431,696.55 and 460,846,287,797.70 is: 691,269,431,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,846,287,797.70 : 691,269,431,696.55 = 460,846,287,797.70 : x
  2. Step 2: Convert to fraction form
    460,846,287,797.70/691,269,431,696.55 = 460,846,287,797.70/x
  3. Step 3: Cross multiply
    460,846,287,797.70x = 691,269,431,696.55 × 460,846,287,797.70
  4. Step 4: Simplify right side
    460,846,287,797.70x = 318,568,951,465,380,811,898,880
  5. Step 5: Solve for x
    x = 318,568,951,465,380,811,898,880/460,846,287,797.70
  6. Step 6: Final answer
    x = 691,269,431,696.55

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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.