Finding the Fourth Proportional to 1,518,620,109.13, 2,277,700,003.26 and 413,311,098.07
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Solution
The fourth proportional to 1,518,620,109.13, 2,277,700,003.26 and 413,311,098.07 is: 619,904,006.12
Step by Step Solution
- Step 1: Write the proportion equation
1,518,620,109.13 : 2,277,700,003.26 = 413,311,098.07 : x - Step 2: Convert to fraction form
1,518,620,109.13/2,277,700,003.26 = 413,311,098.07/x - Step 3: Cross multiply
1,518,620,109.13x = 2,277,700,003.26 × 413,311,098.07 - Step 4: Simplify right side
1,518,620,109.13x = 941,398,689,419,366,656 - Step 5: Solve for x
x = 941,398,689,419,366,656/1,518,620,109.13 - Step 6: Final answer
x = 619,904,006.12
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1.5x scale
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.