Finding the Fourth Proportional to 2,086,083,134,473.20, 3,129,124,701,709.80 and 597,164,016,649.20
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Solution
The fourth proportional to 2,086,083,134,473.20, 3,129,124,701,709.80 and 597,164,016,649.20 is: 895,746,024,973.80
Step by Step Solution
- Step 1: Write the proportion equation
2,086,083,134,473.20 : 3,129,124,701,709.80 = 597,164,016,649.20 : x - Step 2: Convert to fraction form
2,086,083,134,473.20/3,129,124,701,709.80 = 597,164,016,649.20/x - Step 3: Cross multiply
2,086,083,134,473.20x = 3,129,124,701,709.80 × 597,164,016,649.20 - Step 4: Simplify right side
2,086,083,134,473.20x = 1,868,600,675,469,253,610,045,440 - Step 5: Solve for x
x = 1,868,600,675,469,253,610,045,440/2,086,083,134,473.20 - Step 6: Final answer
x = 895,746,024,973.80
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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.