Finding the Fourth Proportional to 378,082,537,183.64, 521,755,473,291.70 and 204,467,676,627.43
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Solution
The fourth proportional to 378,082,537,183.64, 521,755,473,291.70 and 204,467,676,627.43 is: 282,166,243,874.37
Step by Step Solution
- Step 1: Write the proportion equation
378,082,537,183.64 : 521,755,473,291.70 = 204,467,676,627.43 : x - Step 2: Convert to fraction form
378,082,537,183.64/521,755,473,291.70 = 204,467,676,627.43/x - Step 3: Cross multiply
378,082,537,183.64x = 521,755,473,291.70 × 204,467,676,627.43 - Step 4: Simplify right side
378,082,537,183.64x = 106,682,129,391,599,000,485,888 - Step 5: Solve for x
x = 106,682,129,391,599,000,485,888/378,082,537,183.64 - Step 6: Final answer
x = 282,166,243,874.37
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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.