Finding the Fourth Proportional to 202,477,301,924.98, 303,503,348,326.14 and 68,125,148,512.05
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Solution
The fourth proportional to 202,477,301,924.98, 303,503,348,326.14 and 68,125,148,512.05 is: 102,116,190,220.09
Step by Step Solution
- Step 1: Write the proportion equation
202,477,301,924.98 : 303,503,348,326.14 = 68,125,148,512.05 : x - Step 2: Convert to fraction form
202,477,301,924.98/303,503,348,326.14 = 68,125,148,512.05/x - Step 3: Cross multiply
202,477,301,924.98x = 303,503,348,326.14 × 68,125,148,512.05 - Step 4: Simplify right side
202,477,301,924.98x = 20,676,210,678,622,731,632,640 - Step 5: Solve for x
x = 20,676,210,678,622,731,632,640/202,477,301,924.98 - Step 6: Final answer
x = 102,116,190,220.09
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1.5x scale
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.