Finding the Fourth Proportional to 207,910,109,076.79, 286,917,635,153.74 and 115,212,511,966.15
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Solution
The fourth proportional to 207,910,109,076.79, 286,917,635,153.74 and 115,212,511,966.15 is: 158,994,200,042.68
Step by Step Solution
- Step 1: Write the proportion equation
207,910,109,076.79 : 286,917,635,153.74 = 115,212,511,966.15 : x - Step 2: Convert to fraction form
207,910,109,076.79/286,917,635,153.74 = 115,212,511,966.15/x - Step 3: Cross multiply
207,910,109,076.79x = 286,917,635,153.74 × 115,212,511,966.15 - Step 4: Simplify right side
207,910,109,076.79x = 33,056,501,473,449,726,705,664 - Step 5: Solve for x
x = 33,056,501,473,449,726,705,664/207,910,109,076.79 - Step 6: Final answer
x = 158,994,200,042.68
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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.