Finding the Fourth Proportional to 2,692,850,811,647, 3,716,137,703,739.60 and 1,458,258,378,675.50
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Solution
The fourth proportional to 2,692,850,811,647, 3,716,137,703,739.60 and 1,458,258,378,675.50 is: 2,012,398,503,233.75
Step by Step Solution
- Step 1: Write the proportion equation
2,692,850,811,647 : 3,716,137,703,739.60 = 1,458,258,378,675.50 : x - Step 2: Convert to fraction form
2,692,850,811,647/3,716,137,703,739.60 = 1,458,258,378,675.50/x - Step 3: Cross multiply
2,692,850,811,647x = 3,716,137,703,739.60 × 1,458,258,378,675.50 - Step 4: Simplify right side
2,692,850,811,647x = 5,419,088,942,790,204,698,132,480 - Step 5: Solve for x
x = 5,419,088,942,790,204,698,132,480/2,692,850,811,647 - Step 6: Final answer
x = 2,012,398,503,233.75
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.