Finding the Fourth Proportional to 16,344,703,724,869, 24,517,079,183,476 and 6,674,707,011,824
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Solution
The fourth proportional to 16,344,703,724,869, 24,517,079,183,476 and 6,674,707,011,824 is: 10,012,070,153,734.34
Step by Step Solution
- Step 1: Write the proportion equation
16,344,703,724,869 : 24,517,079,183,476 = 6,674,707,011,824 : x - Step 2: Convert to fraction form
16,344,703,724,869/24,517,079,183,476 = 6,674,707,011,824/x - Step 3: Cross multiply
16,344,703,724,869x = 24,517,079,183,476 × 6,674,707,011,824 - Step 4: Simplify right side
16,344,703,724,869x = 163,644,320,335,391,475,896,418,304 - Step 5: Solve for x
x = 163,644,320,335,391,475,896,418,304/16,344,703,724,869 - Step 6: Final answer
x = 10,012,070,153,734.34
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.