Finding the Fourth Proportional to 18,788,975,960,149, 25,931,044,054,238 and 11,381,191,222,200
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Solution
The fourth proportional to 18,788,975,960,149, 25,931,044,054,238 and 11,381,191,222,200 is: 15,707,411,175,496.26
Step by Step Solution
- Step 1: Write the proportion equation
18,788,975,960,149 : 25,931,044,054,238 = 11,381,191,222,200 : x - Step 2: Convert to fraction form
18,788,975,960,149/25,931,044,054,238 = 11,381,191,222,200/x - Step 3: Cross multiply
18,788,975,960,149x = 25,931,044,054,238 × 11,381,191,222,200 - Step 4: Simplify right side
18,788,975,960,149x = 295,126,170,972,575,014,989,070,336 - Step 5: Solve for x
x = 295,126,170,972,575,014,989,070,336/18,788,975,960,149 - Step 6: Final answer
x = 15,707,411,175,496.26
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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.