Finding the Fourth Proportional to 12,682,780,451,999, 19,024,170,677,998 and 12,682,780,451,999
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Solution
The fourth proportional to 12,682,780,451,999, 19,024,170,677,998 and 12,682,780,451,999 is: 19,024,170,677,998
Step by Step Solution
- Step 1: Write the proportion equation
12,682,780,451,999 : 19,024,170,677,998 = 12,682,780,451,999 : x - Step 2: Convert to fraction form
12,682,780,451,999/19,024,170,677,998 = 12,682,780,451,999/x - Step 3: Cross multiply
12,682,780,451,999x = 19,024,170,677,998 × 12,682,780,451,999 - Step 4: Simplify right side
12,682,780,451,999x = 241,279,379,990,405,598,557,503,488 - Step 5: Solve for x
x = 241,279,379,990,405,598,557,503,488/12,682,780,451,999 - Step 6: Final answer
x = 19,024,170,677,998
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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.