Finding the Fourth Proportional to 43,522,686,681,242, 65,293,200,025,546 and 14,114,612,493,560
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Solution
The fourth proportional to 43,522,686,681,242, 65,293,200,025,546 and 14,114,612,493,560 is: 21,174,892,615,769.57
Step by Step Solution
- Step 1: Write the proportion equation
43,522,686,681,242 : 65,293,200,025,546 = 14,114,612,493,560 : x - Step 2: Convert to fraction form
43,522,686,681,242/65,293,200,025,546 = 14,114,612,493,560/x - Step 3: Cross multiply
43,522,686,681,242x = 65,293,200,025,546 × 14,114,612,493,560 - Step 4: Simplify right side
43,522,686,681,242x = 921,588,216,825,083,726,888,173,568 - Step 5: Solve for x
x = 921,588,216,825,083,726,888,173,568/43,522,686,681,242 - Step 6: Final answer
x = 21,174,892,615,769.57
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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.