Finding the Fourth Proportional to 204,177,636,902.24, 281,789,846,578.44 and 116,207,258,607.79
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Solution
The fourth proportional to 204,177,636,902.24, 281,789,846,578.44 and 116,207,258,607.79 is: 160,380,079,185.99
Step by Step Solution
- Step 1: Write the proportion equation
204,177,636,902.24 : 281,789,846,578.44 = 116,207,258,607.79 : x - Step 2: Convert to fraction form
204,177,636,902.24/281,789,846,578.44 = 116,207,258,607.79/x - Step 3: Cross multiply
204,177,636,902.24x = 281,789,846,578.44 × 116,207,258,607.79 - Step 4: Simplify right side
204,177,636,902.24x = 32,746,025,574,390,244,048,896 - Step 5: Solve for x
x = 32,746,025,574,390,244,048,896/204,177,636,902.24 - Step 6: Final answer
x = 160,380,079,185.99
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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.