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Finding the Fourth Proportional to 996,449,896.65, 1,494,674,844.98 and 996,449,896.65

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Solution

The fourth proportional to 996,449,896.65, 1,494,674,844.98 and 996,449,896.65 is: 1,494,674,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,449,896.65 : 1,494,674,844.98 = 996,449,896.65 : x
  2. Step 2: Convert to fraction form
    996,449,896.65/1,494,674,844.98 = 996,449,896.65/x
  3. Step 3: Cross multiply
    996,449,896.65x = 1,494,674,844.98 × 996,449,896.65
  4. Step 4: Simplify right side
    996,449,896.65x = 1,489,368,594,800,693,504
  5. Step 5: Solve for x
    x = 1,489,368,594,800,693,504/996,449,896.65
  6. Step 6: Final answer
    x = 1,494,674,844.98

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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.