Finding the Fourth Proportional to 355,176,715,076.85, 532,796,392,450.70 and 100,208,329,807.09
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Solution
The fourth proportional to 355,176,715,076.85, 532,796,392,450.70 and 100,208,329,807.09 is: 150,321,331,180.66
Step by Step Solution
- Step 1: Write the proportion equation
355,176,715,076.85 : 532,796,392,450.70 = 100,208,329,807.09 : x - Step 2: Convert to fraction form
355,176,715,076.85/532,796,392,450.70 = 100,208,329,807.09/x - Step 3: Cross multiply
355,176,715,076.85x = 532,796,392,450.70 × 100,208,329,807.09 - Step 4: Simplify right side
355,176,715,076.85x = 53,390,636,614,727,501,873,152 - Step 5: Solve for x
x = 53,390,636,614,727,501,873,152/355,176,715,076.85 - Step 6: Final answer
x = 150,321,331,180.66
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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.