Finding the Fourth Proportional to 202,639,160,101.06, 279,525,858,282.57 and 126,383,184,339.94
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Solution
The fourth proportional to 202,639,160,101.06, 279,525,858,282.57 and 126,383,184,339.94 is: 174,336,332,905.68
Step by Step Solution
- Step 1: Write the proportion equation
202,639,160,101.06 : 279,525,858,282.57 = 126,383,184,339.94 : x - Step 2: Convert to fraction form
202,639,160,101.06/279,525,858,282.57 = 126,383,184,339.94/x - Step 3: Cross multiply
202,639,160,101.06x = 279,525,858,282.57 × 126,383,184,339.94 - Step 4: Simplify right side
202,639,160,101.06x = 35,327,368,075,105,989,033,984 - Step 5: Solve for x
x = 35,327,368,075,105,989,033,984/202,639,160,101.06 - Step 6: Final answer
x = 174,336,332,905.68
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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.