Finding the Fourth Proportional to 20,158,534,618,860, 27,818,481,716,588 and 11,259,546,518,506
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Solution
The fourth proportional to 20,158,534,618,860, 27,818,481,716,588 and 11,259,546,518,506 is: 15,538,008,832,699.79
Step by Step Solution
- Step 1: Write the proportion equation
20,158,534,618,860 : 27,818,481,716,588 = 11,259,546,518,506 : x - Step 2: Convert to fraction form
20,158,534,618,860/27,818,481,716,588 = 11,259,546,518,506/x - Step 3: Cross multiply
20,158,534,618,860x = 27,818,481,716,588 × 11,259,546,518,506 - Step 4: Simplify right side
20,158,534,618,860x = 313,223,488,962,131,232,475,316,224 - Step 5: Solve for x
x = 313,223,488,962,131,232,475,316,224/20,158,534,618,860 - Step 6: Final answer
x = 15,538,008,832,699.79
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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.