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Finding the Fourth Proportional to 31,002,912,252.45, 46,504,368,378.68 and 31,002,912,252.45

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Solution

The fourth proportional to 31,002,912,252.45, 46,504,368,378.68 and 31,002,912,252.45 is: 46,504,368,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002,912,252.45 : 46,504,368,378.68 = 31,002,912,252.45 : x
  2. Step 2: Convert to fraction form
    31,002,912,252.45/46,504,368,378.68 = 31,002,912,252.45/x
  3. Step 3: Cross multiply
    31,002,912,252.45x = 46,504,368,378.68 × 31,002,912,252.45
  4. Step 4: Simplify right side
    31,002,912,252.45x = 1,441,770,852,199,826,456,576
  5. Step 5: Solve for x
    x = 1,441,770,852,199,826,456,576/31,002,912,252.45
  6. Step 6: Final answer
    x = 46,504,368,378.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.