Finding the Fourth Proportional to 16,344,703,727,044, 24,517,079,186,742 and 6,674,707,013,998.70
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Solution
The fourth proportional to 16,344,703,727,044, 24,517,079,186,742 and 6,674,707,013,998.70 is: 10,012,070,156,997.83
Step by Step Solution
- Step 1: Write the proportion equation
16,344,703,727,044 : 24,517,079,186,742 = 6,674,707,013,998.70 : x - Step 2: Convert to fraction form
16,344,703,727,044/24,517,079,186,742 = 6,674,707,013,998.70/x - Step 3: Cross multiply
16,344,703,727,044x = 24,517,079,186,742 × 6,674,707,013,998.70 - Step 4: Simplify right side
16,344,703,727,044x = 163,644,320,410,508,392,319,156,224 - Step 5: Solve for x
x = 163,644,320,410,508,392,319,156,224/16,344,703,727,044 - Step 6: Final answer
x = 10,012,070,156,997.83
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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.