Finding the Fourth Proportional to 6,814,998,218,664, 10,223,125,750,910 and 2,225,551,175,684.20
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Solution
The fourth proportional to 6,814,998,218,664, 10,223,125,750,910 and 2,225,551,175,684.20 is: 3,338,531,985,495.58
Step by Step Solution
- Step 1: Write the proportion equation
6,814,998,218,664 : 10,223,125,750,910 = 2,225,551,175,684.20 : x - Step 2: Convert to fraction form
6,814,998,218,664/10,223,125,750,910 = 2,225,551,175,684.20/x - Step 3: Cross multiply
6,814,998,218,664x = 10,223,125,750,910 × 2,225,551,175,684.20 - Step 4: Simplify right side
6,814,998,218,664x = 22,752,089,534,105,172,142,194,688 - Step 5: Solve for x
x = 22,752,089,534,105,172,142,194,688/6,814,998,218,664 - Step 6: Final answer
x = 3,338,531,985,495.58
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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.