Finding the Fourth Proportional to 378,082,537,183.14, 521,755,473,290.98 and 204,467,676,626.94
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Solution
The fourth proportional to 378,082,537,183.14, 521,755,473,290.98 and 204,467,676,626.94 is: 282,166,243,873.68
Step by Step Solution
- Step 1: Write the proportion equation
378,082,537,183.14 : 521,755,473,290.98 = 204,467,676,626.94 : x - Step 2: Convert to fraction form
378,082,537,183.14/521,755,473,290.98 = 204,467,676,626.94/x - Step 3: Cross multiply
378,082,537,183.14x = 521,755,473,290.98 × 204,467,676,626.94 - Step 4: Simplify right side
378,082,537,183.14x = 106,682,129,391,196,129,198,080 - Step 5: Solve for x
x = 106,682,129,391,196,129,198,080/378,082,537,183.14 - Step 6: Final answer
x = 282,166,243,873.68
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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.