Finding the Fourth Proportional to 40,296,535,725,266, 60,450,847,360,161 and 14,153,455,765,186
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Solution
The fourth proportional to 40,296,535,725,266, 60,450,847,360,161 and 14,153,455,765,186 is: 21,232,306,417,437.12
Step by Step Solution
- Step 1: Write the proportion equation
40,296,535,725,266 : 60,450,847,360,161 = 14,153,455,765,186 : x - Step 2: Convert to fraction form
40,296,535,725,266/60,450,847,360,161 = 14,153,455,765,186/x - Step 3: Cross multiply
40,296,535,725,266x = 60,450,847,360,161 × 14,153,455,765,186 - Step 4: Simplify right side
40,296,535,725,266x = 855,588,394,080,049,533,112,287,232 - Step 5: Solve for x
x = 855,588,394,080,049,533,112,287,232/40,296,535,725,266 - Step 6: Final answer
x = 21,232,306,417,437.12
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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.