Finding the Fourth Proportional to 71,295,694,363.12, 106,947,093,777.24 and 27,133,181,359.60
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Solution
The fourth proportional to 71,295,694,363.12, 106,947,093,777.24 and 27,133,181,359.60 is: 40,701,123,921.46
Step by Step Solution
- Step 1: Write the proportion equation
71,295,694,363.12 : 106,947,093,777.24 = 27,133,181,359.60 : x - Step 2: Convert to fraction form
71,295,694,363.12/106,947,093,777.24 = 27,133,181,359.60/x - Step 3: Cross multiply
71,295,694,363.12x = 106,947,093,777.24 × 27,133,181,359.60 - Step 4: Simplify right side
71,295,694,363.12x = 2,901,814,891,340,001,443,840 - Step 5: Solve for x
x = 2,901,814,891,340,001,443,840/71,295,694,363.12 - Step 6: Final answer
x = 40,701,123,921.46
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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.