Finding the Fourth Proportional to 293,357,372,292.20, 440,036,058,438.30 and 159,464,851,293.80
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Solution
The fourth proportional to 293,357,372,292.20, 440,036,058,438.30 and 159,464,851,293.80 is: 239,197,276,940.70
Step by Step Solution
- Step 1: Write the proportion equation
293,357,372,292.20 : 440,036,058,438.30 = 159,464,851,293.80 : x - Step 2: Convert to fraction form
293,357,372,292.20/440,036,058,438.30 = 159,464,851,293.80/x - Step 3: Cross multiply
293,357,372,292.20x = 440,036,058,438.30 × 159,464,851,293.80 - Step 4: Simplify right side
293,357,372,292.20x = 70,170,284,622,773,389,099,008 - Step 5: Solve for x
x = 70,170,284,622,773,389,099,008/293,357,372,292.20 - Step 6: Final answer
x = 239,197,276,940.70
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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.