Finding the Fourth Proportional to 902,659,964,175, 1,354,585,696,106 and 478,486,104,076.80
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Solution
The fourth proportional to 902,659,964,175, 1,354,585,696,106 and 478,486,104,076.80 is: 718,044,953,904.99
Step by Step Solution
- Step 1: Write the proportion equation
902,659,964,175 : 1,354,585,696,106 = 478,486,104,076.80 : x - Step 2: Convert to fraction form
902,659,964,175/1,354,585,696,106 = 478,486,104,076.80/x - Step 3: Cross multiply
902,659,964,175x = 1,354,585,696,106 × 478,486,104,076.80 - Step 4: Simplify right side
902,659,964,175x = 648,150,432,367,920,042,475,520 - Step 5: Solve for x
x = 648,150,432,367,920,042,475,520/902,659,964,175 - Step 6: Final answer
x = 718,044,953,904.99
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.