Finding the Fourth Proportional to 10,819,683,349,253, 14,931,172,643,148 and 5,881,305,093,662
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Solution
The fourth proportional to 10,819,683,349,253, 14,931,172,643,148 and 5,881,305,093,662 is: 8,116,206,259,082.05
Step by Step Solution
- Step 1: Write the proportion equation
10,819,683,349,253 : 14,931,172,643,148 = 5,881,305,093,662 : x - Step 2: Convert to fraction form
10,819,683,349,253/14,931,172,643,148 = 5,881,305,093,662/x - Step 3: Cross multiply
10,819,683,349,253x = 14,931,172,643,148 × 5,881,305,093,662 - Step 4: Simplify right side
10,819,683,349,253x = 87,814,781,720,493,042,077,532,160 - Step 5: Solve for x
x = 87,814,781,720,493,042,077,532,160/10,819,683,349,253 - Step 6: Final answer
x = 8,116,206,259,082.05
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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.