Finding the Fourth Proportional to 201,786,465,765.83, 302,679,989,959.53 and 82,403,790,296.14
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Solution
The fourth proportional to 201,786,465,765.83, 302,679,989,959.53 and 82,403,790,296.14 is: 123,605,804,407.15
Step by Step Solution
- Step 1: Write the proportion equation
201,786,465,765.83 : 302,679,989,959.53 = 82,403,790,296.14 : x - Step 2: Convert to fraction form
201,786,465,765.83/302,679,989,959.53 = 82,403,790,296.14/x - Step 3: Cross multiply
201,786,465,765.83x = 302,679,989,959.53 × 82,403,790,296.14 - Step 4: Simplify right side
201,786,465,765.83x = 24,941,978,419,461,359,665,152 - Step 5: Solve for x
x = 24,941,978,419,461,359,665,152/201,786,465,765.83 - Step 6: Final answer
x = 123,605,804,407.15
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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.