Finding the Fourth Proportional to 65,253,347,507,162, 90,049,161,466,054 and 35,623,077,970,570
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Solution
The fourth proportional to 65,253,347,507,162, 90,049,161,466,054 and 35,623,077,970,570 is: 49,159,597,517,010.27
Step by Step Solution
- Step 1: Write the proportion equation
65,253,347,507,162 : 90,049,161,466,054 = 35,623,077,970,570 : x - Step 2: Convert to fraction form
65,253,347,507,162/90,049,161,466,054 = 35,623,077,970,570/x - Step 3: Cross multiply
65,253,347,507,162x = 90,049,161,466,054 × 35,623,077,970,570 - Step 4: Simplify right side
65,253,347,507,162x = 3,207,828,300,089,688,949,686,009,856 - Step 5: Solve for x
x = 3,207,828,300,089,688,949,686,009,856/65,253,347,507,162 - Step 6: Final answer
x = 49,159,597,517,010.27
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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.