Finding the Fourth Proportional to 22,755,734,388,446, 31,397,531,198,403 and 12,878,977,873,586
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Solution
The fourth proportional to 22,755,734,388,446, 31,397,531,198,403 and 12,878,977,873,586 is: 17,769,943,289,317.54
Step by Step Solution
- Step 1: Write the proportion equation
22,755,734,388,446 : 31,397,531,198,403 = 12,878,977,873,586 : x - Step 2: Convert to fraction form
22,755,734,388,446/31,397,531,198,403 = 12,878,977,873,586/x - Step 3: Cross multiply
22,755,734,388,446x = 31,397,531,198,403 × 12,878,977,873,586 - Step 4: Simplify right side
22,755,734,388,446x = 404,368,109,589,458,352,529,735,680 - Step 5: Solve for x
x = 404,368,109,589,458,352,529,735,680/22,755,734,388,446 - Step 6: Final answer
x = 17,769,943,289,317.54
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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.