Finding the Fourth Proportional to 25,830,949,836,105, 35,629,914,485,092 and 16,567,261,039,527
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Solution
The fourth proportional to 25,830,949,836,105, 35,629,914,485,092 and 16,567,261,039,527 is: 22,852,047,556,744.13
Step by Step Solution
- Step 1: Write the proportion equation
25,830,949,836,105 : 35,629,914,485,092 = 16,567,261,039,527 : x - Step 2: Convert to fraction form
25,830,949,836,105/35,629,914,485,092 = 16,567,261,039,527/x - Step 3: Cross multiply
25,830,949,836,105x = 35,629,914,485,092 × 16,567,261,039,527 - Step 4: Simplify right side
25,830,949,836,105x = 590,290,094,090,543,379,335,086,080 - Step 5: Solve for x
x = 590,290,094,090,543,379,335,086,080/25,830,949,836,105 - Step 6: Final answer
x = 22,852,047,556,744.13
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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.