Finding the Fourth Proportional to 202,477,301,905.67, 303,503,348,297.17 and 68,125,148,492.74
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Solution
The fourth proportional to 202,477,301,905.67, 303,503,348,297.17 and 68,125,148,492.74 is: 102,116,190,191.14
Step by Step Solution
- Step 1: Write the proportion equation
202,477,301,905.67 : 303,503,348,297.17 = 68,125,148,492.74 : x - Step 2: Convert to fraction form
202,477,301,905.67/303,503,348,297.17 = 68,125,148,492.74/x - Step 3: Cross multiply
202,477,301,905.67x = 303,503,348,297.17 × 68,125,148,492.74 - Step 4: Simplify right side
202,477,301,905.67x = 20,676,210,670,788,493,180,928 - Step 5: Solve for x
x = 20,676,210,670,788,493,180,928/202,477,301,905.67 - Step 6: Final answer
x = 102,116,190,191.14
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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.