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Finding the Fourth Proportional to 3,188,103,624,028, 4,782,155,436,041.80 and 3,188,103,624,028

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Solution

The fourth proportional to 3,188,103,624,028, 4,782,155,436,041.80 and 3,188,103,624,028 is: 4,782,155,436,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,624,028 : 4,782,155,436,041.80 = 3,188,103,624,028 : x
  2. Step 2: Convert to fraction form
    3,188,103,624,028/4,782,155,436,041.80 = 3,188,103,624,028/x
  3. Step 3: Cross multiply
    3,188,103,624,028x = 4,782,155,436,041.80 × 3,188,103,624,028
  4. Step 4: Simplify right side
    3,188,103,624,028x = 15,246,007,076,310,062,892,843,008
  5. Step 5: Solve for x
    x = 15,246,007,076,310,062,892,843,008/3,188,103,624,028
  6. Step 6: Final answer
    x = 4,782,155,436,041.80

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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.