Finding the Fourth Proportional to 18,132,939,693,154, 27,199,409,539,734 and 18,132,939,693,154
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Solution
The fourth proportional to 18,132,939,693,154, 27,199,409,539,734 and 18,132,939,693,154 is: 27,199,409,539,734
Step by Step Solution
- Step 1: Write the proportion equation
18,132,939,693,154 : 27,199,409,539,734 = 18,132,939,693,154 : x - Step 2: Convert to fraction form
18,132,939,693,154/27,199,409,539,734 = 18,132,939,693,154/x - Step 3: Cross multiply
18,132,939,693,154x = 27,199,409,539,734 × 18,132,939,693,154 - Step 4: Simplify right side
18,132,939,693,154x = 493,205,252,873,394,196,351,811,584 - Step 5: Solve for x
x = 493,205,252,873,394,196,351,811,584/18,132,939,693,154 - Step 6: Final answer
x = 27,199,409,539,734
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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.