Finding the Fourth Proportional to 3,188,103,624,108, 4,782,155,436,162 and 3,188,103,624,108
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Solution
The fourth proportional to 3,188,103,624,108, 4,782,155,436,162 and 3,188,103,624,108 is: 4,782,155,436,162
Step by Step Solution
- Step 1: Write the proportion equation
3,188,103,624,108 : 4,782,155,436,162 = 3,188,103,624,108 : x - Step 2: Convert to fraction form
3,188,103,624,108/4,782,155,436,162 = 3,188,103,624,108/x - Step 3: Cross multiply
3,188,103,624,108x = 4,782,155,436,162 × 3,188,103,624,108 - Step 4: Simplify right side
3,188,103,624,108x = 15,246,007,077,075,844,824,301,568 - Step 5: Solve for x
x = 15,246,007,077,075,844,824,301,568/3,188,103,624,108 - Step 6: Final answer
x = 4,782,155,436,162
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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.