Finding the Fourth Proportional to 1,651,940,600.20, 2,477,993,238.12 and 471,696,129.40
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Solution
The fourth proportional to 1,651,940,600.20, 2,477,993,238.12 and 471,696,129.40 is: 707,567,704.89
Step by Step Solution
- Step 1: Write the proportion equation
1,651,940,600.20 : 2,477,993,238.12 = 471,696,129.40 : x - Step 2: Convert to fraction form
1,651,940,600.20/2,477,993,238.12 = 471,696,129.40/x - Step 3: Cross multiply
1,651,940,600.20x = 2,477,993,238.12 × 471,696,129.40 - Step 4: Simplify right side
1,651,940,600.20x = 1,168,859,819,100,576,512 - Step 5: Solve for x
x = 1,168,859,819,100,576,512/1,651,940,600.20 - Step 6: Final answer
x = 707,567,704.89
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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.