Finding the Fourth Proportional to 99,471,125,609.40, 149,206,688,414.10 and 40,551,092,124.60
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Solution
The fourth proportional to 99,471,125,609.40, 149,206,688,414.10 and 40,551,092,124.60 is: 60,826,638,186.90
Step by Step Solution
- Step 1: Write the proportion equation
99,471,125,609.40 : 149,206,688,414.10 = 40,551,092,124.60 : x - Step 2: Convert to fraction form
99,471,125,609.40/149,206,688,414.10 = 40,551,092,124.60/x - Step 3: Cross multiply
99,471,125,609.40x = 149,206,688,414.10 × 40,551,092,124.60 - Step 4: Simplify right side
99,471,125,609.40x = 6,050,494,167,486,656,675,840 - Step 5: Solve for x
x = 6,050,494,167,486,656,675,840/99,471,125,609.40 - Step 6: Final answer
x = 60,826,638,186.90
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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.