Finding the Fourth Proportional to 2,795,214,318,507.80, 4,193,240,710,790.70 and 981,770,305,629.87
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Solution
The fourth proportional to 2,795,214,318,507.80, 4,193,240,710,790.70 and 981,770,305,629.87 is: 1,472,802,706,738.54
Step by Step Solution
- Step 1: Write the proportion equation
2,795,214,318,507.80 : 4,193,240,710,790.70 = 981,770,305,629.87 : x - Step 2: Convert to fraction form
2,795,214,318,507.80/4,193,240,710,790.70 = 981,770,305,629.87/x - Step 3: Cross multiply
2,795,214,318,507.80x = 4,193,240,710,790.70 × 981,770,305,629.87 - Step 4: Simplify right side
2,795,214,318,507.80x = 4,116,799,214,212,598,942,662,656 - Step 5: Solve for x
x = 4,116,799,214,212,598,942,662,656/2,795,214,318,507.80 - Step 6: Final answer
x = 1,472,802,706,738.54
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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.