Finding the Fourth Proportional to 2,220,786,535,177.20, 3,331,408,050,016.80 and 768,646,820,138.09
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Solution
The fourth proportional to 2,220,786,535,177.20, 3,331,408,050,016.80 and 768,646,820,138.09 is: 1,153,049,229,931.29
Step by Step Solution
- Step 1: Write the proportion equation
2,220,786,535,177.20 : 3,331,408,050,016.80 = 768,646,820,138.09 : x - Step 2: Convert to fraction form
2,220,786,535,177.20/3,331,408,050,016.80 = 768,646,820,138.09/x - Step 3: Cross multiply
2,220,786,535,177.20x = 3,331,408,050,016.80 × 768,646,820,138.09 - Step 4: Simplify right side
2,220,786,535,177.20x = 2,560,676,204,227,848,245,870,592 - Step 5: Solve for x
x = 2,560,676,204,227,848,245,870,592/2,220,786,535,177.20 - Step 6: Final answer
x = 1,153,049,229,931.29
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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.