Finding the Fourth Proportional to 714,837,932,497.40, 986,440,694,039.46 and 406,148,517,116.99
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Solution
The fourth proportional to 714,837,932,497.40, 986,440,694,039.46 and 406,148,517,116.99 is: 560,464,696,813.55
Step by Step Solution
- Step 1: Write the proportion equation
714,837,932,497.40 : 986,440,694,039.46 = 406,148,517,116.99 : x - Step 2: Convert to fraction form
714,837,932,497.40/986,440,694,039.46 = 406,148,517,116.99/x - Step 3: Cross multiply
714,837,932,497.40x = 986,440,694,039.46 × 406,148,517,116.99 - Step 4: Simplify right side
714,837,932,497.40x = 400,641,425,107,981,099,335,680 - Step 5: Solve for x
x = 400,641,425,107,981,099,335,680/714,837,932,497.40 - Step 6: Final answer
x = 560,464,696,813.55
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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.