Finding the Fourth Proportional to 202,477,301,906.67, 303,503,348,298.67 and 68,125,148,493.74
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Solution
The fourth proportional to 202,477,301,906.67, 303,503,348,298.67 and 68,125,148,493.74 is: 102,116,190,192.64
Step by Step Solution
- Step 1: Write the proportion equation
202,477,301,906.67 : 303,503,348,298.67 = 68,125,148,493.74 : x - Step 2: Convert to fraction form
202,477,301,906.67/303,503,348,298.67 = 68,125,148,493.74/x - Step 3: Cross multiply
202,477,301,906.67x = 303,503,348,298.67 × 68,125,148,493.74 - Step 4: Simplify right side
202,477,301,906.67x = 20,676,210,671,194,183,041,024 - Step 5: Solve for x
x = 20,676,210,671,194,183,041,024/202,477,301,906.67 - Step 6: Final answer
x = 102,116,190,192.64
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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.