Finding the Fourth Proportional to 18,205,581,465,842, 27,309,977,585,016 and 5,136,459,780,258
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Solution
The fourth proportional to 18,205,581,465,842, 27,309,977,585,016 and 5,136,459,780,258 is: 7,705,142,608,511.27
Step by Step Solution
- Step 1: Write the proportion equation
18,205,581,465,842 : 27,309,977,585,016 = 5,136,459,780,258 : x - Step 2: Convert to fraction form
18,205,581,465,842/27,309,977,585,016 = 5,136,459,780,258/x - Step 3: Cross multiply
18,205,581,465,842x = 27,309,977,585,016 × 5,136,459,780,258 - Step 4: Simplify right side
18,205,581,465,842x = 140,276,601,465,182,186,761,093,120 - Step 5: Solve for x
x = 140,276,601,465,182,186,761,093,120/18,205,581,465,842 - Step 6: Final answer
x = 7,705,142,608,511.27
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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.