Finding the Fourth Proportional to 16,344,703,727,018, 24,517,079,186,700 and 6,674,707,013,970.80
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Solution
The fourth proportional to 16,344,703,727,018, 24,517,079,186,700 and 6,674,707,013,970.80 is: 10,012,070,156,954.75
Step by Step Solution
- Step 1: Write the proportion equation
16,344,703,727,018 : 24,517,079,186,700 = 6,674,707,013,970.80 : x - Step 2: Convert to fraction form
16,344,703,727,018/24,517,079,186,700 = 6,674,707,013,970.80/x - Step 3: Cross multiply
16,344,703,727,018x = 24,517,079,186,700 × 6,674,707,013,970.80 - Step 4: Simplify right side
16,344,703,727,018x = 163,644,320,409,544,017,542,381,568 - Step 5: Solve for x
x = 163,644,320,409,544,017,542,381,568/16,344,703,727,018 - Step 6: Final answer
x = 10,012,070,156,954.75
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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.