Finding the Fourth Proportional to 22,930,766,763,714, 31,644,456,923,724 and 12,383,662,970,161
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Solution
The fourth proportional to 22,930,766,763,714, 31,644,456,923,724 and 12,383,662,970,161 is: 17,089,454,245,258.11
Step by Step Solution
- Step 1: Write the proportion equation
22,930,766,763,714 : 31,644,456,923,724 = 12,383,662,970,161 : x - Step 2: Convert to fraction form
22,930,766,763,714/31,644,456,923,724 = 12,383,662,970,161/x - Step 3: Cross multiply
22,930,766,763,714x = 31,644,456,923,724 × 12,383,662,970,161 - Step 4: Simplify right side
22,930,766,763,714x = 391,874,289,417,175,761,529,339,904 - Step 5: Solve for x
x = 391,874,289,417,175,761,529,339,904/22,930,766,763,714 - Step 6: Final answer
x = 17,089,454,245,258.11
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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.