Finding the Fourth Proportional to 2,086,083,072,165.40, 3,129,124,608,248.10 and 597,163,954,341.30
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Solution
The fourth proportional to 2,086,083,072,165.40, 3,129,124,608,248.10 and 597,163,954,341.30 is: 895,745,931,511.95
Step by Step Solution
- Step 1: Write the proportion equation
2,086,083,072,165.40 : 3,129,124,608,248.10 = 597,163,954,341.30 : x - Step 2: Convert to fraction form
2,086,083,072,165.40/3,129,124,608,248.10 = 597,163,954,341.30/x - Step 3: Cross multiply
2,086,083,072,165.40x = 3,129,124,608,248.10 × 597,163,954,341.30 - Step 4: Simplify right side
2,086,083,072,165.40x = 1,868,600,424,688,106,866,737,152 - Step 5: Solve for x
x = 1,868,600,424,688,106,866,737,152/2,086,083,072,165.40 - Step 6: Final answer
x = 895,745,931,511.95
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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.