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Finding the Fourth Proportional to 3,188,103,624,448, 4,782,155,436,671.70 and 3,188,103,624,448

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Solution

The fourth proportional to 3,188,103,624,448, 4,782,155,436,671.70 and 3,188,103,624,448 is: 4,782,155,436,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,448 : 4,782,155,436,671.70 = 3,188,103,624,448 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,448/4,782,155,436,671.70 = 3,188,103,624,448/x
  3. Step 3: Cross multiply
    3,188,103,624,448x = 4,782,155,436,671.70 × 3,188,103,624,448
  4. Step 4: Simplify right side
    3,188,103,624,448x = 15,246,007,080,326,754,962,767,872
  5. Step 5: Solve for x
    x = 15,246,007,080,326,754,962,767,872/3,188,103,624,448
  6. Step 6: Final answer
    x = 4,782,155,436,671.70

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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.