Finding the Fourth Proportional to 8,361,180,163.67, 11,538,427,982.95 and 4,550,730,436.29
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Solution
The fourth proportional to 8,361,180,163.67, 11,538,427,982.95 and 4,550,730,436.29 is: 6,280,007,652.17
Step by Step Solution
- Step 1: Write the proportion equation
8,361,180,163.67 : 11,538,427,982.95 = 4,550,730,436.29 : x - Step 2: Convert to fraction form
8,361,180,163.67/11,538,427,982.95 = 4,550,730,436.29/x - Step 3: Cross multiply
8,361,180,163.67x = 11,538,427,982.95 × 4,550,730,436.29 - Step 4: Simplify right side
8,361,180,163.67x = 52,508,275,408,998,047,744 - Step 5: Solve for x
x = 52,508,275,408,998,047,744/8,361,180,163.67 - Step 6: Final answer
x = 6,280,007,652.17
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1.5x scale
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.