Finding the Fourth Proportional to 204,259,969,176.90, 306,389,953,765.35 and 110,222,972,261.70
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Solution
The fourth proportional to 204,259,969,176.90, 306,389,953,765.35 and 110,222,972,261.70 is: 165,334,458,392.55
Step by Step Solution
- Step 1: Write the proportion equation
204,259,969,176.90 : 306,389,953,765.35 = 110,222,972,261.70 : x - Step 2: Convert to fraction form
204,259,969,176.90/306,389,953,765.35 = 110,222,972,261.70/x - Step 3: Cross multiply
204,259,969,176.90x = 306,389,953,765.35 × 110,222,972,261.70 - Step 4: Simplify right side
204,259,969,176.90x = 33,771,211,375,141,713,870,848 - Step 5: Solve for x
x = 33,771,211,375,141,713,870,848/204,259,969,176.90 - Step 6: Final answer
x = 165,334,458,392.55
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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.