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Finding the Fourth Proportional to 3,188,103,624,065, 4,782,155,436,097.50 and 3,188,103,624,065

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Solution

The fourth proportional to 3,188,103,624,065, 4,782,155,436,097.50 and 3,188,103,624,065 is: 4,782,155,436,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,065 : 4,782,155,436,097.50 = 3,188,103,624,065 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,065/4,782,155,436,097.50 = 3,188,103,624,065/x
  3. Step 3: Cross multiply
    3,188,103,624,065x = 4,782,155,436,097.50 × 3,188,103,624,065
  4. Step 4: Simplify right side
    3,188,103,624,065x = 15,246,007,076,664,580,230,873,088
  5. Step 5: Solve for x
    x = 15,246,007,076,664,580,230,873,088/3,188,103,624,065
  6. Step 6: Final answer
    x = 4,782,155,436,097.50

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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.