Finding the Fourth Proportional to 767,682,532,126.43, 1,059,435,195,849.70 and 425,126,395,105.60
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Solution
The fourth proportional to 767,682,532,126.43, 1,059,435,195,849.70 and 425,126,395,105.60 is: 586,692,866,922.50
Step by Step Solution
- Step 1: Write the proportion equation
767,682,532,126.43 : 1,059,435,195,849.70 = 425,126,395,105.60 : x - Step 2: Convert to fraction form
767,682,532,126.43/1,059,435,195,849.70 = 425,126,395,105.60/x - Step 3: Cross multiply
767,682,532,126.43x = 1,059,435,195,849.70 × 425,126,395,105.60 - Step 4: Simplify right side
767,682,532,126.43x = 450,393,865,659,578,253,836,288 - Step 5: Solve for x
x = 450,393,865,659,578,253,836,288/767,682,532,126.43 - Step 6: Final answer
x = 586,692,866,922.50
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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.