Finding the Fourth Proportional to 7,415,857,226.07, 10,234,760,311.09 and 4,405,121,823.10
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Solution
The fourth proportional to 7,415,857,226.07, 10,234,760,311.09 and 4,405,121,823.10 is: 6,079,589,267.45
Step by Step Solution
- Step 1: Write the proportion equation
7,415,857,226.07 : 10,234,760,311.09 = 4,405,121,823.10 : x - Step 2: Convert to fraction form
7,415,857,226.07/10,234,760,311.09 = 4,405,121,823.10/x - Step 3: Cross multiply
7,415,857,226.07x = 10,234,760,311.09 × 4,405,121,823.10 - Step 4: Simplify right side
7,415,857,226.07x = 45,085,366,000,580,304,896 - Step 5: Solve for x
x = 45,085,366,000,580,304,896/7,415,857,226.07 - Step 6: Final answer
x = 6,079,589,267.45
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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.