Finding the Fourth Proportional to 3,844,315,202,426, 5,305,160,232,868.50 and 2,086,464,766,417.90
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Solution
The fourth proportional to 3,844,315,202,426, 5,305,160,232,868.50 and 2,086,464,766,417.90 is: 2,879,324,228,954.03
Step by Step Solution
- Step 1: Write the proportion equation
3,844,315,202,426 : 5,305,160,232,868.50 = 2,086,464,766,417.90 : x - Step 2: Convert to fraction form
3,844,315,202,426/5,305,160,232,868.50 = 2,086,464,766,417.90/x - Step 3: Cross multiply
3,844,315,202,426x = 5,305,160,232,868.50 × 2,086,464,766,417.90 - Step 4: Simplify right side
3,844,315,202,426x = 11,069,029,906,081,505,444,102,144 - Step 5: Solve for x
x = 11,069,029,906,081,505,444,102,144/3,844,315,202,426 - Step 6: Final answer
x = 2,879,324,228,954.03
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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.