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Finding the Fourth Proportional to 31,002,912,860.80, 46,504,369,291.20 and 31,002,912,860.80

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Solution

The fourth proportional to 31,002,912,860.80, 46,504,369,291.20 and 31,002,912,860.80 is: 46,504,369,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002,912,860.80 : 46,504,369,291.20 = 31,002,912,860.80 : x
  2. Step 2: Convert to fraction form
    31,002,912,860.80/46,504,369,291.20 = 31,002,912,860.80/x
  3. Step 3: Cross multiply
    31,002,912,860.80x = 46,504,369,291.20 × 31,002,912,860.80
  4. Step 4: Simplify right side
    31,002,912,860.80x = 1,441,770,908,781,536,870,400
  5. Step 5: Solve for x
    x = 1,441,770,908,781,536,870,400/31,002,912,860.80
  6. Step 6: Final answer
    x = 46,504,369,291.20

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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.