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Finding the Fourth Proportional to 3,188,103,664,560, 4,782,155,496,840 and 3,188,103,664,560

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Solution

The fourth proportional to 3,188,103,664,560, 4,782,155,496,840 and 3,188,103,664,560 is: 4,782,155,496,840

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188,103,664,560 : 4,782,155,496,840 = 3,188,103,664,560 : x
  2. Step 2: Convert to fraction form
    3,188,103,664,560/4,782,155,496,840 = 3,188,103,664,560/x
  3. Step 3: Cross multiply
    3,188,103,664,560x = 4,782,155,496,840 × 3,188,103,664,560
  4. Step 4: Simplify right side
    3,188,103,664,560x = 15,246,007,463,971,352,161,026,048
  5. Step 5: Solve for x
    x = 15,246,007,463,971,352,161,026,048/3,188,103,664,560
  6. Step 6: Final answer
    x = 4,782,155,496,840

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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.