Finding the Fourth Proportional to 150,454,844,227.08, 207,621,418,624.92 and 81,866,526,697.26
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Solution
The fourth proportional to 150,454,844,227.08, 207,621,418,624.92 and 81,866,526,697.26 is: 112,972,397,120.87
Step by Step Solution
- Step 1: Write the proportion equation
150,454,844,227.08 : 207,621,418,624.92 = 81,866,526,697.26 : x - Step 2: Convert to fraction form
150,454,844,227.08/207,621,418,624.92 = 81,866,526,697.26/x - Step 3: Cross multiply
150,454,844,227.08x = 207,621,418,624.92 × 81,866,526,697.26 - Step 4: Simplify right side
150,454,844,227.08x = 16,997,244,410,780,008,316,928 - Step 5: Solve for x
x = 16,997,244,410,780,008,316,928/150,454,844,227.08 - Step 6: Final answer
x = 112,972,397,120.87
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1.5x scale
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.