Finding the Fourth Proportional to 16,344,703,727,004, 24,517,079,186,682 and 6,674,707,013,959.20
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Solution
The fourth proportional to 16,344,703,727,004, 24,517,079,186,682 and 6,674,707,013,959.20 is: 10,012,070,156,938.58
Step by Step Solution
- Step 1: Write the proportion equation
16,344,703,727,004 : 24,517,079,186,682 = 6,674,707,013,959.20 : x - Step 2: Convert to fraction form
16,344,703,727,004/24,517,079,186,682 = 6,674,707,013,959.20/x - Step 3: Cross multiply
16,344,703,727,004x = 24,517,079,186,682 × 6,674,707,013,959.20 - Step 4: Simplify right side
16,344,703,727,004x = 163,644,320,409,139,465,982,836,736 - Step 5: Solve for x
x = 163,644,320,409,139,465,982,836,736/16,344,703,727,004 - Step 6: Final answer
x = 10,012,070,156,938.58
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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.