Finding the Fourth Proportional to 11,162,351,361,365, 15,406,910,952,360 and 7,270,121,948,348.40
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Solution
The fourth proportional to 11,162,351,361,365, 15,406,910,952,360 and 7,270,121,948,348.40 is: 10,034,634,983,690.79
Step by Step Solution
- Step 1: Write the proportion equation
11,162,351,361,365 : 15,406,910,952,360 = 7,270,121,948,348.40 : x - Step 2: Convert to fraction form
11,162,351,361,365/15,406,910,952,360 = 7,270,121,948,348.40/x - Step 3: Cross multiply
11,162,351,361,365x = 15,406,910,952,360 × 7,270,121,948,348.40 - Step 4: Simplify right side
11,162,351,361,365x = 112,010,121,471,001,784,932,630,528 - Step 5: Solve for x
x = 112,010,121,471,001,784,932,630,528/11,162,351,361,365 - Step 6: Final answer
x = 10,034,634,983,690.79
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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.