Finding the Fourth Proportional to 26,419,775,952,850, 36,460,420,827,172 and 14,713,988,581,048
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Solution
The fourth proportional to 26,419,775,952,850, 36,460,420,827,172 and 14,713,988,581,048 is: 20,305,933,580,535.97
Step by Step Solution
- Step 1: Write the proportion equation
26,419,775,952,850 : 36,460,420,827,172 = 14,713,988,581,048 : x - Step 2: Convert to fraction form
26,419,775,952,850/36,460,420,827,172 = 14,713,988,581,048/x - Step 3: Cross multiply
26,419,775,952,850x = 36,460,420,827,172 × 14,713,988,581,048 - Step 4: Simplify right side
26,419,775,952,850x = 536,478,215,711,213,459,890,765,824 - Step 5: Solve for x
x = 536,478,215,711,213,459,890,765,824/26,419,775,952,850 - Step 6: Final answer
x = 20,305,933,580,535.97
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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.