Finding the Fourth Proportional to 204,177,636,912.42, 281,789,846,592.42 and 116,207,258,617.92
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Solution
The fourth proportional to 204,177,636,912.42, 281,789,846,592.42 and 116,207,258,617.92 is: 160,380,079,199.93
Step by Step Solution
- Step 1: Write the proportion equation
204,177,636,912.42 : 281,789,846,592.42 = 116,207,258,617.92 : x - Step 2: Convert to fraction form
204,177,636,912.42/281,789,846,592.42 = 116,207,258,617.92/x - Step 3: Cross multiply
204,177,636,912.42x = 281,789,846,592.42 × 116,207,258,617.92 - Step 4: Simplify right side
204,177,636,912.42x = 32,746,025,578,869,349,679,104 - Step 5: Solve for x
x = 32,746,025,578,869,349,679,104/204,177,636,912.42 - Step 6: Final answer
x = 160,380,079,199.93
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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.