Finding the Fourth Proportional to 30,745,250,672,288, 42,429,669,198,486 and 16,872,223,585,606
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Solution
The fourth proportional to 30,745,250,672,288, 42,429,669,198,486 and 16,872,223,585,606 is: 23,284,339,848,476.55
Step by Step Solution
- Step 1: Write the proportion equation
30,745,250,672,288 : 42,429,669,198,486 = 16,872,223,585,606 : x - Step 2: Convert to fraction form
30,745,250,672,288/42,429,669,198,486 = 16,872,223,585,606/x - Step 3: Cross multiply
30,745,250,672,288x = 42,429,669,198,486 × 16,872,223,585,606 - Step 4: Simplify right side
30,745,250,672,288x = 715,882,865,380,155,929,361,645,568 - Step 5: Solve for x
x = 715,882,865,380,155,929,361,645,568/30,745,250,672,288 - Step 6: Final answer
x = 23,284,339,848,476.55
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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.