Finding the Fourth Proportional to 5,751,125,105,874.30, 7,936,802,125,770 and 3,184,851,786,738.30
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Solution
The fourth proportional to 5,751,125,105,874.30, 7,936,802,125,770 and 3,184,851,786,738.30 is: 4,395,233,622,274.71
Step by Step Solution
- Step 1: Write the proportion equation
5,751,125,105,874.30 : 7,936,802,125,770 = 3,184,851,786,738.30 : x - Step 2: Convert to fraction form
5,751,125,105,874.30/7,936,802,125,770 = 3,184,851,786,738.30/x - Step 3: Cross multiply
5,751,125,105,874.30x = 7,936,802,125,770 × 3,184,851,786,738.30 - Step 4: Simplify right side
5,751,125,105,874.30x = 25,277,538,431,246,918,500,745,216 - Step 5: Solve for x
x = 25,277,538,431,246,918,500,745,216/5,751,125,105,874.30 - Step 6: Final answer
x = 4,395,233,622,274.71
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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.