Finding the Fourth Proportional to 49,247,946,694,599, 67,964,125,881,726 and 27,026,039,781,586
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Solution
The fourth proportional to 49,247,946,694,599, 67,964,125,881,726 and 27,026,039,781,586 is: 37,297,010,191,933.27
Step by Step Solution
- Step 1: Write the proportion equation
49,247,946,694,599 : 67,964,125,881,726 = 27,026,039,781,586 : x - Step 2: Convert to fraction form
49,247,946,694,599/67,964,125,881,726 = 27,026,039,781,586/x - Step 3: Cross multiply
49,247,946,694,599x = 67,964,125,881,726 × 27,026,039,781,586 - Step 4: Simplify right side
49,247,946,694,599x = 1,836,801,169,800,245,497,445,744,640 - Step 5: Solve for x
x = 1,836,801,169,800,245,497,445,744,640/49,247,946,694,599 - Step 6: Final answer
x = 37,297,010,191,933.27
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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.