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Finding the Fourth Proportional to 943,839,216,919.12, 1,415,758,825,378.60 and 943,839,216,919.12

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Solution

The fourth proportional to 943,839,216,919.12, 1,415,758,825,378.60 and 943,839,216,919.12 is: 1,415,758,825,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,839,216,919.12 : 1,415,758,825,378.60 = 943,839,216,919.12 : x
  2. Step 2: Convert to fraction form
    943,839,216,919.12/1,415,758,825,378.60 = 943,839,216,919.12/x
  3. Step 3: Cross multiply
    943,839,216,919.12x = 1,415,758,825,378.60 × 943,839,216,919.12
  4. Step 4: Simplify right side
    943,839,216,919.12x = 1,336,248,701,091,670,986,326,016
  5. Step 5: Solve for x
    x = 1,336,248,701,091,670,986,326,016/943,839,216,919.12
  6. Step 6: Final answer
    x = 1,415,758,825,378.60

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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.