Finding the Fourth Proportional to 226,574,120,108.08, 312,670,695,148.84 and 123,691,239,778.77
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Solution
The fourth proportional to 226,574,120,108.08, 312,670,695,148.84 and 123,691,239,778.77 is: 170,693,042,554.91
Step by Step Solution
- Step 1: Write the proportion equation
226,574,120,108.08 : 312,670,695,148.84 = 123,691,239,778.77 : x - Step 2: Convert to fraction form
226,574,120,108.08/312,670,695,148.84 = 123,691,239,778.77/x - Step 3: Cross multiply
226,574,120,108.08x = 312,670,695,148.84 × 123,691,239,778.77 - Step 4: Simplify right side
226,574,120,108.08x = 38,674,625,925,449,871,523,840 - Step 5: Solve for x
x = 38,674,625,925,449,871,523,840/226,574,120,108.08 - Step 6: Final answer
x = 170,693,042,554.91
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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.