Finding the Fourth Proportional to 16,378,171,699,630, 22,590,993,906,766 and 10,532,669,179,405
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Solution
The fourth proportional to 16,378,171,699,630, 22,590,993,906,766 and 10,532,669,179,405 is: 14,528,084,673,779.29
Step by Step Solution
- Step 1: Write the proportion equation
16,378,171,699,630 : 22,590,993,906,766 = 10,532,669,179,405 : x - Step 2: Convert to fraction form
16,378,171,699,630/22,590,993,906,766 = 10,532,669,179,405/x - Step 3: Cross multiply
16,378,171,699,630x = 22,590,993,906,766 × 10,532,669,179,405 - Step 4: Simplify right side
16,378,171,699,630x = 237,943,465,253,920,389,996,740,608 - Step 5: Solve for x
x = 237,943,465,253,920,389,996,740,608/16,378,171,699,630 - Step 6: Final answer
x = 14,528,084,673,779.29
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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.