Finding the Fourth Proportional to 18,630,442,446,146, 27,946,232,986,950 and 6,391,681,180,316
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Solution
The fourth proportional to 18,630,442,446,146, 27,946,232,986,950 and 6,391,681,180,316 is: 9,587,717,090,442.24
Step by Step Solution
- Step 1: Write the proportion equation
18,630,442,446,146 : 27,946,232,986,950 = 6,391,681,180,316 : x - Step 2: Convert to fraction form
18,630,442,446,146/27,946,232,986,950 = 6,391,681,180,316/x - Step 3: Cross multiply
18,630,442,446,146x = 27,946,232,986,950 × 6,391,681,180,316 - Step 4: Simplify right side
18,630,442,446,146x = 178,623,411,443,414,517,587,902,464 - Step 5: Solve for x
x = 178,623,411,443,414,517,587,902,464/18,630,442,446,146 - Step 6: Final answer
x = 9,587,717,090,442.24
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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.