Finding the Fourth Proportional to 416,093,102.19, 574,188,076.26 and 227,922,230.97
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Solution
The fourth proportional to 416,093,102.19, 574,188,076.26 and 227,922,230.97 is: 314,521,501.68
Step by Step Solution
- Step 1: Write the proportion equation
416,093,102.19 : 574,188,076.26 = 227,922,230.97 : x - Step 2: Convert to fraction form
416,093,102.19/574,188,076.26 = 227,922,230.97/x - Step 3: Cross multiply
416,093,102.19x = 574,188,076.26 × 227,922,230.97 - Step 4: Simplify right side
416,093,102.19x = 130,870,227,337,551,696 - Step 5: Solve for x
x = 130,870,227,337,551,696/416,093,102.19 - Step 6: Final answer
x = 314,521,501.68
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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.