Finding the Fourth Proportional to 30,107,487,926,660, 45,161,229,399,316 and 8,349,995,040,406
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Solution
The fourth proportional to 30,107,487,926,660, 45,161,229,399,316 and 8,349,995,040,406 is: 12,524,991,869,846.77
Step by Step Solution
- Step 1: Write the proportion equation
30,107,487,926,660 : 45,161,229,399,316 = 8,349,995,040,406 : x - Step 2: Convert to fraction form
30,107,487,926,660/45,161,229,399,316 = 8,349,995,040,406/x - Step 3: Cross multiply
30,107,487,926,660x = 45,161,229,399,316 × 8,349,995,040,406 - Step 4: Simplify right side
30,107,487,926,660x = 377,096,041,502,926,259,068,338,176 - Step 5: Solve for x
x = 377,096,041,502,926,259,068,338,176/30,107,487,926,660 - Step 6: Final answer
x = 12,524,991,869,846.77
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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.