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Finding the Fourth Proportional to 31,002,912,236.45, 46,504,368,354.68 and 31,002,912,236.45

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Solution

The fourth proportional to 31,002,912,236.45, 46,504,368,354.68 and 31,002,912,236.45 is: 46,504,368,354.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002,912,236.45 : 46,504,368,354.68 = 31,002,912,236.45 : x
  2. Step 2: Convert to fraction form
    31,002,912,236.45/46,504,368,354.68 = 31,002,912,236.45/x
  3. Step 3: Cross multiply
    31,002,912,236.45x = 46,504,368,354.68 × 31,002,912,236.45
  4. Step 4: Simplify right side
    31,002,912,236.45x = 1,441,770,850,711,686,873,088
  5. Step 5: Solve for x
    x = 1,441,770,850,711,686,873,088/31,002,912,236.45
  6. Step 6: Final answer
    x = 46,504,368,354.68

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1.5x scale

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.