Finding the Fourth Proportional to 503,440,809,402.46, 694,877,581,716.14 and 327,894,720,391.15
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Solution
The fourth proportional to 503,440,809,402.46, 694,877,581,716.14 and 327,894,720,391.15 is: 452,578,905,220.91
Step by Step Solution
- Step 1: Write the proportion equation
503,440,809,402.46 : 694,877,581,716.14 = 327,894,720,391.15 : x - Step 2: Convert to fraction form
503,440,809,402.46/694,877,581,716.14 = 327,894,720,391.15/x - Step 3: Cross multiply
503,440,809,402.46x = 694,877,581,716.14 × 327,894,720,391.15 - Step 4: Simplify right side
503,440,809,402.46x = 227,846,690,362,892,232,949,760 - Step 5: Solve for x
x = 227,846,690,362,892,232,949,760/503,440,809,402.46 - Step 6: Final answer
x = 452,578,905,220.91
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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.