Finding the Fourth Proportional to 32,416,391,410,012, 44,734,620,145,828 and 18,542,867,860,668
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Solution
The fourth proportional to 32,416,391,410,012, 44,734,620,145,828 and 18,542,867,860,668 is: 25,589,157,647,728.39
Step by Step Solution
- Step 1: Write the proportion equation
32,416,391,410,012 : 44,734,620,145,828 = 18,542,867,860,668 : x - Step 2: Convert to fraction form
32,416,391,410,012/44,734,620,145,828 = 18,542,867,860,668/x - Step 3: Cross multiply
32,416,391,410,012x = 44,734,620,145,828 × 18,542,867,860,668 - Step 4: Simplify right side
32,416,391,410,012x = 829,508,150,161,265,317,981,978,624 - Step 5: Solve for x
x = 829,508,150,161,265,317,981,978,624/32,416,391,410,012 - Step 6: Final answer
x = 25,589,157,647,728.39
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.