Finding the Fourth Proportional to 202,639,160,101.56, 279,525,858,283.26 and 126,383,184,340.44
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Solution
The fourth proportional to 202,639,160,101.56, 279,525,858,283.26 and 126,383,184,340.44 is: 174,336,332,906.37
Step by Step Solution
- Step 1: Write the proportion equation
202,639,160,101.56 : 279,525,858,283.26 = 126,383,184,340.44 : x - Step 2: Convert to fraction form
202,639,160,101.56/279,525,858,283.26 = 126,383,184,340.44/x - Step 3: Cross multiply
202,639,160,101.56x = 279,525,858,283.26 × 126,383,184,340.44 - Step 4: Simplify right side
202,639,160,101.56x = 35,327,368,075,332,959,600,640 - Step 5: Solve for x
x = 35,327,368,075,332,959,600,640/202,639,160,101.56 - Step 6: Final answer
x = 174,336,332,906.37
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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.