Finding the Fourth Proportional to 1,861,416,195.82, 2,568,753,723.66 and 1,026,054,716.74
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Solution
The fourth proportional to 1,861,416,195.82, 2,568,753,723.66 and 1,026,054,716.74 is: 1,415,955,163.72
Step by Step Solution
- Step 1: Write the proportion equation
1,861,416,195.82 : 2,568,753,723.66 = 1,026,054,716.74 : x - Step 2: Convert to fraction form
1,861,416,195.82/2,568,753,723.66 = 1,026,054,716.74/x - Step 3: Cross multiply
1,861,416,195.82x = 2,568,753,723.66 × 1,026,054,716.74 - Step 4: Simplify right side
1,861,416,195.82x = 2,635,681,874,304,781,312 - Step 5: Solve for x
x = 2,635,681,874,304,781,312/1,861,416,195.82 - Step 6: Final answer
x = 1,415,955,163.72
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.