Finding the Fourth Proportional to 491,232,369,227.24, 736,863,565,148.20 and 168,530,656,163.26
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Solution
The fourth proportional to 491,232,369,227.24, 736,863,565,148.20 and 168,530,656,163.26 is: 252,801,134,283.11
Step by Step Solution
- Step 1: Write the proportion equation
491,232,369,227.24 : 736,863,565,148.20 = 168,530,656,163.26 : x - Step 2: Convert to fraction form
491,232,369,227.24/736,863,565,148.20 = 168,530,656,163.26/x - Step 3: Cross multiply
491,232,369,227.24x = 736,863,565,148.20 × 168,530,656,163.26 - Step 4: Simplify right side
491,232,369,227.24x = 124,184,100,137,225,229,959,168 - Step 5: Solve for x
x = 124,184,100,137,225,229,959,168/491,232,369,227.24 - Step 6: Final answer
x = 252,801,134,283.11
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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.