Finding the Fourth Proportional to 897,649,922,257.96, 1,238,757,560,576.80 and 486,121,595,458.84
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Solution
The fourth proportional to 897,649,922,257.96, 1,238,757,560,576.80 and 486,121,595,458.84 is: 670,848,163,412.69
Step by Step Solution
- Step 1: Write the proportion equation
897,649,922,257.96 : 1,238,757,560,576.80 = 486,121,595,458.84 : x - Step 2: Convert to fraction form
897,649,922,257.96/1,238,757,560,576.80 = 486,121,595,458.84/x - Step 3: Cross multiply
897,649,922,257.96x = 1,238,757,560,576.80 × 486,121,595,458.84 - Step 4: Simplify right side
897,649,922,257.96x = 602,186,801,734,294,721,003,520 - Step 5: Solve for x
x = 602,186,801,734,294,721,003,520/897,649,922,257.96 - Step 6: Final answer
x = 670,848,163,412.69
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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.