Finding the Fourth Proportional to 32,689,407,454,028, 49,034,158,373,384 and 13,349,414,027,934
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Solution
The fourth proportional to 32,689,407,454,028, 49,034,158,373,384 and 13,349,414,027,934 is: 20,024,140,313,896.47
Step by Step Solution
- Step 1: Write the proportion equation
32,689,407,454,028 : 49,034,158,373,384 = 13,349,414,027,934 : x - Step 2: Convert to fraction form
32,689,407,454,028/49,034,158,373,384 = 13,349,414,027,934/x - Step 3: Cross multiply
32,689,407,454,028x = 49,034,158,373,384 × 13,349,414,027,934 - Step 4: Simplify right side
32,689,407,454,028x = 654,577,281,637,589,755,594,014,720 - Step 5: Solve for x
x = 654,577,281,637,589,755,594,014,720/32,689,407,454,028 - Step 6: Final answer
x = 20,024,140,313,896.47
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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.