Finding the Fourth Proportional to 202,477,301,907.67, 303,503,348,300.17 and 68,125,148,494.74
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Solution
The fourth proportional to 202,477,301,907.67, 303,503,348,300.17 and 68,125,148,494.74 is: 102,116,190,194.14
Step by Step Solution
- Step 1: Write the proportion equation
202,477,301,907.67 : 303,503,348,300.17 = 68,125,148,494.74 : x - Step 2: Convert to fraction form
202,477,301,907.67/303,503,348,300.17 = 68,125,148,494.74/x - Step 3: Cross multiply
202,477,301,907.67x = 303,503,348,300.17 × 68,125,148,494.74 - Step 4: Simplify right side
202,477,301,907.67x = 20,676,210,671,599,872,901,120 - Step 5: Solve for x
x = 20,676,210,671,599,872,901,120/202,477,301,907.67 - Step 6: Final answer
x = 102,116,190,194.14
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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.