Finding the Fourth Proportional to 30,745,250,672,278, 42,429,669,198,466 and 16,872,223,585,596
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Solution
The fourth proportional to 30,745,250,672,278, 42,429,669,198,466 and 16,872,223,585,596 is: 23,284,339,848,459.34
Step by Step Solution
- Step 1: Write the proportion equation
30,745,250,672,278 : 42,429,669,198,466 = 16,872,223,585,596 : x - Step 2: Convert to fraction form
30,745,250,672,278/42,429,669,198,466 = 16,872,223,585,596/x - Step 3: Cross multiply
30,745,250,672,278x = 42,429,669,198,466 × 16,872,223,585,596 - Step 4: Simplify right side
30,745,250,672,278x = 715,882,865,379,394,105,242,550,272 - Step 5: Solve for x
x = 715,882,865,379,394,105,242,550,272/30,745,250,672,278 - Step 6: Final answer
x = 23,284,339,848,459.34
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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.