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Finding the Fourth Proportional to 629,226,144,611.75, 943,839,216,917.60 and 629,226,144,611.75

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Solution

The fourth proportional to 629,226,144,611.75, 943,839,216,917.60 and 629,226,144,611.75 is: 943,839,216,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,226,144,611.75 : 943,839,216,917.60 = 629,226,144,611.75 : x
  2. Step 2: Convert to fraction form
    629,226,144,611.75/943,839,216,917.60 = 629,226,144,611.75/x
  3. Step 3: Cross multiply
    629,226,144,611.75x = 943,839,216,917.60 × 629,226,144,611.75
  4. Step 4: Simplify right side
    629,226,144,611.75x = 593,888,311,594,434,670,100,480
  5. Step 5: Solve for x
    x = 593,888,311,594,434,670,100,480/629,226,144,611.75
  6. Step 6: Final answer
    x = 943,839,216,917.60

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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.