Finding the Fourth Proportional to 5,793,782,412,618, 7,995,059,476,447.60 and 3,192,351,168,380.20
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Solution
The fourth proportional to 5,793,782,412,618, 7,995,059,476,447.60 and 3,192,351,168,380.20 is: 4,405,246,114,407.28
Step by Step Solution
- Step 1: Write the proportion equation
5,793,782,412,618 : 7,995,059,476,447.60 = 3,192,351,168,380.20 : x - Step 2: Convert to fraction form
5,793,782,412,618/7,995,059,476,447.60 = 3,192,351,168,380.20/x - Step 3: Cross multiply
5,793,782,412,618x = 7,995,059,476,447.60 × 3,192,351,168,380.20 - Step 4: Simplify right side
5,793,782,412,618x = 25,523,037,460,906,685,581,230,080 - Step 5: Solve for x
x = 25,523,037,460,906,685,581,230,080/5,793,782,412,618 - Step 6: Final answer
x = 4,405,246,114,407.28
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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.