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Finding the Fourth Proportional to 164,661,361.40, 246,965,538.16 and 48,049,338.14

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Solution

The fourth proportional to 164,661,361.40, 246,965,538.16 and 48,049,338.14 is: 72,066,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,661,361.40 : 246,965,538.16 = 48,049,338.14 : x
  2. Step 2: Convert to fraction form
    164,661,361.40/246,965,538.16 = 48,049,338.14/x
  3. Step 3: Cross multiply
    164,661,361.40x = 246,965,538.16 × 48,049,338.14
  4. Step 4: Simplify right side
    164,661,361.40x = 11,866,530,651,976,914
  5. Step 5: Solve for x
    x = 11,866,530,651,976,914/164,661,361.40
  6. Step 6: Final answer
    x = 72,066,273.17

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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.