Finding the Fourth Proportional to 8,274,320,338,902, 11,418,908,965,963 and 4,758,622,157,733.20
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Solution
The fourth proportional to 8,274,320,338,902, 11,418,908,965,963 and 4,758,622,157,733.20 is: 6,567,098,081,409.37
Step by Step Solution
- Step 1: Write the proportion equation
8,274,320,338,902 : 11,418,908,965,963 = 4,758,622,157,733.20 : x - Step 2: Convert to fraction form
8,274,320,338,902/11,418,908,965,963 = 4,758,622,157,733.20/x - Step 3: Cross multiply
8,274,320,338,902x = 11,418,908,965,963 × 4,758,622,157,733.20 - Step 4: Simplify right side
8,274,320,338,902x = 54,338,273,222,569,837,822,214,144 - Step 5: Solve for x
x = 54,338,273,222,569,837,822,214,144/8,274,320,338,902 - Step 6: Final answer
x = 6,567,098,081,409.37
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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.