Finding the Fourth Proportional to 57,665,705,780,974, 79,585,496,166,656 and 34,254,227,287,474
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Solution
The fourth proportional to 57,665,705,780,974, 79,585,496,166,656 and 34,254,227,287,474 is: 47,274,886,131,342.16
Step by Step Solution
- Step 1: Write the proportion equation
57,665,705,780,974 : 79,585,496,166,656 = 34,254,227,287,474 : x - Step 2: Convert to fraction form
57,665,705,780,974/79,585,496,166,656 = 34,254,227,287,474/x - Step 3: Cross multiply
57,665,705,780,974x = 79,585,496,166,656 × 34,254,227,287,474 - Step 4: Simplify right side
57,665,705,780,974x = 2,726,139,674,479,025,540,902,682,624 - Step 5: Solve for x
x = 2,726,139,674,479,025,540,902,682,624/57,665,705,780,974 - Step 6: Final answer
x = 47,274,886,131,342.16
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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.