Finding the Fourth Proportional to 13,669,287,848,276, 18,863,631,191,396 and 7,419,154,157,103
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Solution
The fourth proportional to 13,669,287,848,276, 18,863,631,191,396 and 7,419,154,157,103 is: 10,238,440,314,164.17
Step by Step Solution
- Step 1: Write the proportion equation
13,669,287,848,276 : 18,863,631,191,396 = 7,419,154,157,103 : x - Step 2: Convert to fraction form
13,669,287,848,276/18,863,631,191,396 = 7,419,154,157,103/x - Step 3: Cross multiply
13,669,287,848,276x = 18,863,631,191,396 × 7,419,154,157,103 - Step 4: Simplify right side
13,669,287,848,276x = 139,952,187,771,703,447,630,381,056 - Step 5: Solve for x
x = 139,952,187,771,703,447,630,381,056/13,669,287,848,276 - Step 6: Final answer
x = 10,238,440,314,164.17
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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.