Finding the Fourth Proportional to 1,956,132,198,529.70, 2,935,538,598,352.70 and 682,716,993,213.95
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Solution
The fourth proportional to 1,956,132,198,529.70, 2,935,538,598,352.70 and 682,716,993,213.95 is: 1,024,543,273,116.83
Step by Step Solution
- Step 1: Write the proportion equation
1,956,132,198,529.70 : 2,935,538,598,352.70 = 682,716,993,213.95 : x - Step 2: Convert to fraction form
1,956,132,198,529.70/2,935,538,598,352.70 = 682,716,993,213.95/x - Step 3: Cross multiply
1,956,132,198,529.70x = 2,935,538,598,352.70 × 682,716,993,213.95 - Step 4: Simplify right side
1,956,132,198,529.70x = 2,004,142,085,330,848,647,741,440 - Step 5: Solve for x
x = 2,004,142,085,330,848,647,741,440/1,956,132,198,529.70 - Step 6: Final answer
x = 1,024,543,273,116.83
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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.