Finding the Fourth Proportional to 13,786,288,313,975, 20,679,432,470,984 and 13,786,288,313,975
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Solution
The fourth proportional to 13,786,288,313,975, 20,679,432,470,984 and 13,786,288,313,975 is: 20,679,432,470,984
Step by Step Solution
- Step 1: Write the proportion equation
13,786,288,313,975 : 20,679,432,470,984 = 13,786,288,313,975 : x - Step 2: Convert to fraction form
13,786,288,313,975/20,679,432,470,984 = 13,786,288,313,975/x - Step 3: Cross multiply
13,786,288,313,975x = 20,679,432,470,984 × 13,786,288,313,975 - Step 4: Simplify right side
13,786,288,313,975x = 285,092,618,214,361,876,431,634,432 - Step 5: Solve for x
x = 285,092,618,214,361,876,431,634,432/13,786,288,313,975 - Step 6: Final answer
x = 20,679,432,470,984
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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.