Finding the Fourth Proportional to 620,387,647,173.12, 929,278,268,302.86 and 393,630,378,660.48
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Solution
The fourth proportional to 620,387,647,173.12, 929,278,268,302.86 and 393,630,378,660.48 is: 589,618,697,760.65
Step by Step Solution
- Step 1: Write the proportion equation
620,387,647,173.12 : 929,278,268,302.86 = 393,630,378,660.48 : x - Step 2: Convert to fraction form
620,387,647,173.12/929,278,268,302.86 = 393,630,378,660.48/x - Step 3: Cross multiply
620,387,647,173.12x = 929,278,268,302.86 × 393,630,378,660.48 - Step 4: Simplify right side
620,387,647,173.12x = 365,792,156,633,009,854,873,600 - Step 5: Solve for x
x = 365,792,156,633,009,854,873,600/620,387,647,173.12 - Step 6: Final answer
x = 589,618,697,760.65
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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.