Finding the Fourth Proportional to 32,689,407,454,036, 49,034,158,373,400 and 13,349,414,027,942
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Solution
The fourth proportional to 32,689,407,454,036, 49,034,158,373,400 and 13,349,414,027,942 is: 20,024,140,313,910.10
Step by Step Solution
- Step 1: Write the proportion equation
32,689,407,454,036 : 49,034,158,373,400 = 13,349,414,027,942 : x - Step 2: Convert to fraction form
32,689,407,454,036/49,034,158,373,400 = 13,349,414,027,942/x - Step 3: Cross multiply
32,689,407,454,036x = 49,034,158,373,400 × 13,349,414,027,942 - Step 4: Simplify right side
32,689,407,454,036x = 654,577,281,638,195,586,500,919,296 - Step 5: Solve for x
x = 654,577,281,638,195,586,500,919,296/32,689,407,454,036 - Step 6: Final answer
x = 20,024,140,313,910.10
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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.