Finding the Fourth Proportional to 202,477,301,923.98, 303,503,348,324.64 and 68,125,148,511.05
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Solution
The fourth proportional to 202,477,301,923.98, 303,503,348,324.64 and 68,125,148,511.05 is: 102,116,190,218.60
Step by Step Solution
- Step 1: Write the proportion equation
202,477,301,923.98 : 303,503,348,324.64 = 68,125,148,511.05 : x - Step 2: Convert to fraction form
202,477,301,923.98/303,503,348,324.64 = 68,125,148,511.05/x - Step 3: Cross multiply
202,477,301,923.98x = 303,503,348,324.64 × 68,125,148,511.05 - Step 4: Simplify right side
202,477,301,923.98x = 20,676,210,678,218,253,926,400 - Step 5: Solve for x
x = 20,676,210,678,218,253,926,400/202,477,301,923.98 - Step 6: Final answer
x = 102,116,190,218.60
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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.