Finding the Fourth Proportional to 405,823,305,027.90, 560,037,469,558.86 and 225,382,212,276.16
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Solution
The fourth proportional to 405,823,305,027.90, 560,037,469,558.86 and 225,382,212,276.16 is: 311,028,179,709.99
Step by Step Solution
- Step 1: Write the proportion equation
405,823,305,027.90 : 560,037,469,558.86 = 225,382,212,276.16 : x - Step 2: Convert to fraction form
405,823,305,027.90/560,037,469,558.86 = 225,382,212,276.16/x - Step 3: Cross multiply
405,823,305,027.90x = 560,037,469,558.86 × 225,382,212,276.16 - Step 4: Simplify right side
405,823,305,027.90x = 126,222,483,846,718,476,517,376 - Step 5: Solve for x
x = 126,222,483,846,718,476,517,376/405,823,305,027.90 - Step 6: Final answer
x = 311,028,179,709.99
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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.