Finding the Fourth Proportional to 230,193,381,615.36, 317,650,740,236.64 and 133,842,632,435.52
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Solution
The fourth proportional to 230,193,381,615.36, 317,650,740,236.64 and 133,842,632,435.52 is: 184,693,456,301.90
Step by Step Solution
- Step 1: Write the proportion equation
230,193,381,615.36 : 317,650,740,236.64 = 133,842,632,435.52 : x - Step 2: Convert to fraction form
230,193,381,615.36/317,650,740,236.64 = 133,842,632,435.52/x - Step 3: Cross multiply
230,193,381,615.36x = 317,650,740,236.64 × 133,842,632,435.52 - Step 4: Simplify right side
230,193,381,615.36x = 42,515,211,268,363,456,086,016 - Step 5: Solve for x
x = 42,515,211,268,363,456,086,016/230,193,381,615.36 - Step 6: Final answer
x = 184,693,456,301.90
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.