Finding the Fourth Proportional to 701,932,924,686.48, 1,052,164,523,873.80 and 293,753,162,645.28
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Solution
The fourth proportional to 701,932,924,686.48, 1,052,164,523,873.80 and 293,753,162,645.28 is: 440,322,209,774.02
Step by Step Solution
- Step 1: Write the proportion equation
701,932,924,686.48 : 1,052,164,523,873.80 = 293,753,162,645.28 : x - Step 2: Convert to fraction form
701,932,924,686.48/1,052,164,523,873.80 = 293,753,162,645.28/x - Step 3: Cross multiply
701,932,924,686.48x = 1,052,164,523,873.80 × 293,753,162,645.28 - Step 4: Simplify right side
701,932,924,686.48x = 309,076,656,511,094,037,151,744 - Step 5: Solve for x
x = 309,076,656,511,094,037,151,744/701,932,924,686.48 - Step 6: Final answer
x = 440,322,209,774.02
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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.