Finding the Fourth Proportional to 20,648,156,119,228, 28,507,317,370,578 and 13,143,761,139,110
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Solution
The fourth proportional to 20,648,156,119,228, 28,507,317,370,578 and 13,143,761,139,110 is: 18,146,577,741,474.75
Step by Step Solution
- Step 1: Write the proportion equation
20,648,156,119,228 : 28,507,317,370,578 = 13,143,761,139,110 : x - Step 2: Convert to fraction form
20,648,156,119,228/28,507,317,370,578 = 13,143,761,139,110/x - Step 3: Cross multiply
20,648,156,119,228x = 28,507,317,370,578 × 13,143,761,139,110 - Step 4: Simplify right side
20,648,156,119,228x = 374,693,370,235,678,578,830,213,120 - Step 5: Solve for x
x = 374,693,370,235,678,578,830,213,120/20,648,156,119,228 - Step 6: Final answer
x = 18,146,577,741,474.75
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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.