Finding the Fourth Proportional to 2,135,494,013.80, 3,203,241,020.70 and 681,618,404.20
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Solution
The fourth proportional to 2,135,494,013.80, 3,203,241,020.70 and 681,618,404.20 is: 1,022,427,606.30
Step by Step Solution
- Step 1: Write the proportion equation
2,135,494,013.80 : 3,203,241,020.70 = 681,618,404.20 : x - Step 2: Convert to fraction form
2,135,494,013.80/3,203,241,020.70 = 681,618,404.20/x - Step 3: Cross multiply
2,135,494,013.80x = 3,203,241,020.70 × 681,618,404.20 - Step 4: Simplify right side
2,135,494,013.80x = 2,183,388,032,797,513,216 - Step 5: Solve for x
x = 2,183,388,032,797,513,216/2,135,494,013.80 - Step 6: Final answer
x = 1,022,427,606.30
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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.