Finding the Fourth Proportional to 428,112,616,697.41, 590,806,608,107.35 and 232,807,321,236.29
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Solution
The fourth proportional to 428,112,616,697.41, 590,806,608,107.35 and 232,807,321,236.29 is: 321,280,192,261.62
Step by Step Solution
- Step 1: Write the proportion equation
428,112,616,697.41 : 590,806,608,107.35 = 232,807,321,236.29 : x - Step 2: Convert to fraction form
428,112,616,697.41/590,806,608,107.35 = 232,807,321,236.29/x - Step 3: Cross multiply
428,112,616,697.41x = 590,806,608,107.35 × 232,807,321,236.29 - Step 4: Simplify right side
428,112,616,697.41x = 137,544,103,802,170,723,270,656 - Step 5: Solve for x
x = 137,544,103,802,170,723,270,656/428,112,616,697.41 - Step 6: Final answer
x = 321,280,192,261.62
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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.