Finding the Fourth Proportional to 16,344,703,724,864, 24,517,079,183,471 and 6,674,707,011,820.50
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Solution
The fourth proportional to 16,344,703,724,864, 24,517,079,183,471 and 6,674,707,011,820.50 is: 10,012,070,153,730.12
Step by Step Solution
- Step 1: Write the proportion equation
16,344,703,724,864 : 24,517,079,183,471 = 6,674,707,011,820.50 : x - Step 2: Convert to fraction form
16,344,703,724,864/24,517,079,183,471 = 6,674,707,011,820.50/x - Step 3: Cross multiply
16,344,703,724,864x = 24,517,079,183,471 × 6,674,707,011,820.50 - Step 4: Simplify right side
16,344,703,724,864x = 163,644,320,335,272,316,323,758,080 - Step 5: Solve for x
x = 163,644,320,335,272,316,323,758,080/16,344,703,724,864 - Step 6: Final answer
x = 10,012,070,153,730.12
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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.