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Finding the Fourth Proportional to 3,188,103,624,024, 4,782,155,436,035.80 and 3,188,103,624,024

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Solution

The fourth proportional to 3,188,103,624,024, 4,782,155,436,035.80 and 3,188,103,624,024 is: 4,782,155,436,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,024 : 4,782,155,436,035.80 = 3,188,103,624,024 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,024/4,782,155,436,035.80 = 3,188,103,624,024/x
  3. Step 3: Cross multiply
    3,188,103,624,024x = 4,782,155,436,035.80 × 3,188,103,624,024
  4. Step 4: Simplify right side
    3,188,103,624,024x = 15,246,007,076,271,805,471,653,888
  5. Step 5: Solve for x
    x = 15,246,007,076,271,805,471,653,888/3,188,103,624,024
  6. Step 6: Final answer
    x = 4,782,155,436,035.80

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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.