Finding the Fourth Proportional to 491,232,369,228.24, 736,863,565,149.70 and 168,530,656,164.26
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Solution
The fourth proportional to 491,232,369,228.24, 736,863,565,149.70 and 168,530,656,164.26 is: 252,801,134,284.61
Step by Step Solution
- Step 1: Write the proportion equation
491,232,369,228.24 : 736,863,565,149.70 = 168,530,656,164.26 : x - Step 2: Convert to fraction form
491,232,369,228.24/736,863,565,149.70 = 168,530,656,164.26/x - Step 3: Cross multiply
491,232,369,228.24x = 736,863,565,149.70 × 168,530,656,164.26 - Step 4: Simplify right side
491,232,369,228.24x = 124,184,100,138,214,884,376,576 - Step 5: Solve for x
x = 124,184,100,138,214,884,376,576/491,232,369,228.24 - Step 6: Final answer
x = 252,801,134,284.61
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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.