Finding the Fourth Proportional to 76,942,794,755.76, 115,333,639,674.84 and 32,199,926,660.16
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Solution
The fourth proportional to 76,942,794,755.76, 115,333,639,674.84 and 32,199,926,660.16 is: 48,266,179,448.87
Step by Step Solution
- Step 1: Write the proportion equation
76,942,794,755.76 : 115,333,639,674.84 = 32,199,926,660.16 : x - Step 2: Convert to fraction form
76,942,794,755.76/115,333,639,674.84 = 32,199,926,660.16/x - Step 3: Cross multiply
76,942,794,755.76x = 115,333,639,674.84 × 32,199,926,660.16 - Step 4: Simplify right side
76,942,794,755.76x = 3,713,734,738,979,167,666,176 - Step 5: Solve for x
x = 3,713,734,738,979,167,666,176/76,942,794,755.76 - Step 6: Final answer
x = 48,266,179,448.87
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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.