Finding the Fourth Proportional to 330,106,109,380.96, 495,256,313,026.32 and 106,511,865,121.12
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Solution
The fourth proportional to 330,106,109,380.96, 495,256,313,026.32 and 106,511,865,121.12 is: 159,799,143,712.80
Step by Step Solution
- Step 1: Write the proportion equation
330,106,109,380.96 : 495,256,313,026.32 = 106,511,865,121.12 : x - Step 2: Convert to fraction form
330,106,109,380.96/495,256,313,026.32 = 106,511,865,121.12/x - Step 3: Cross multiply
330,106,109,380.96x = 495,256,313,026.32 × 106,511,865,121.12 - Step 4: Simplify right side
330,106,109,380.96x = 52,750,673,613,442,582,052,864 - Step 5: Solve for x
x = 52,750,673,613,442,582,052,864/330,106,109,380.96 - Step 6: Final answer
x = 159,799,143,712.80
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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.