Finding the Fourth Proportional to 4,123,466,782.12, 5,690,385,087.30 and 2,269,170,718.12
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Solution
The fourth proportional to 4,123,466,782.12, 5,690,385,087.30 and 2,269,170,718.12 is: 3,131,456,101.68
Step by Step Solution
- Step 1: Write the proportion equation
4,123,466,782.12 : 5,690,385,087.30 = 2,269,170,718.12 : x - Step 2: Convert to fraction form
4,123,466,782.12/5,690,385,087.30 = 2,269,170,718.12/x - Step 3: Cross multiply
4,123,466,782.12x = 5,690,385,087.30 × 2,269,170,718.12 - Step 4: Simplify right side
4,123,466,782.12x = 12,912,455,214,927,880,192 - Step 5: Solve for x
x = 12,912,455,214,927,880,192/4,123,466,782.12 - Step 6: Final answer
x = 3,131,456,101.68
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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.