Finding the Fourth Proportional to 30,745,250,672,307, 42,429,669,198,510 and 16,872,223,585,624
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Solution
The fourth proportional to 30,745,250,672,307, 42,429,669,198,510 and 16,872,223,585,624 is: 23,284,339,848,500.17
Step by Step Solution
- Step 1: Write the proportion equation
30,745,250,672,307 : 42,429,669,198,510 = 16,872,223,585,624 : x - Step 2: Convert to fraction form
30,745,250,672,307/42,429,669,198,510 = 16,872,223,585,624/x - Step 3: Cross multiply
30,745,250,672,307x = 42,429,669,198,510 × 16,872,223,585,624 - Step 4: Simplify right side
30,745,250,672,307x = 715,882,865,381,324,572,783,017,984 - Step 5: Solve for x
x = 715,882,865,381,324,572,783,017,984/30,745,250,672,307 - Step 6: Final answer
x = 23,284,339,848,500.17
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1.5x scale
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.