Finding the Fourth Proportional to 140,722,396,856.24, 194,197,032,796.05 and 76,493,121,164.96
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Solution
The fourth proportional to 140,722,396,856.24, 194,197,032,796.05 and 76,493,121,164.96 is: 105,560,575,227.54
Step by Step Solution
- Step 1: Write the proportion equation
140,722,396,856.24 : 194,197,032,796.05 = 76,493,121,164.96 : x - Step 2: Convert to fraction form
140,722,396,856.24/194,197,032,796.05 = 76,493,121,164.96/x - Step 3: Cross multiply
140,722,396,856.24x = 194,197,032,796.05 × 76,493,121,164.96 - Step 4: Simplify right side
140,722,396,856.24x = 14,854,737,159,543,184,162,816 - Step 5: Solve for x
x = 14,854,737,159,543,184,162,816/140,722,396,856.24 - Step 6: Final answer
x = 105,560,575,227.54
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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.