Finding the Fourth Proportional to 9,667,906,660,407.60, 13,347,733,419,194 and 6,154,189,029,112.80
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Solution
The fourth proportional to 9,667,906,660,407.60, 13,347,733,419,194 and 6,154,189,029,112.80 is: 8,496,614,361,030.95
Step by Step Solution
- Step 1: Write the proportion equation
9,667,906,660,407.60 : 13,347,733,419,194 = 6,154,189,029,112.80 : x - Step 2: Convert to fraction form
9,667,906,660,407.60/13,347,733,419,194 = 6,154,189,029,112.80/x - Step 3: Cross multiply
9,667,906,660,407.60x = 13,347,733,419,194 × 6,154,189,029,112.80 - Step 4: Simplify right side
9,667,906,660,407.60x = 82,144,474,571,925,993,843,326,976 - Step 5: Solve for x
x = 82,144,474,571,925,993,843,326,976/9,667,906,660,407.60 - Step 6: Final answer
x = 8,496,614,361,030.95
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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.