Finding the Fourth Proportional to 620,387,647,175.12, 929,278,268,305.84 and 393,630,378,662.48
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Solution
The fourth proportional to 620,387,647,175.12, 929,278,268,305.84 and 393,630,378,662.48 is: 589,618,697,763.64
Step by Step Solution
- Step 1: Write the proportion equation
620,387,647,175.12 : 929,278,268,305.84 = 393,630,378,662.48 : x - Step 2: Convert to fraction form
620,387,647,175.12/929,278,268,305.84 = 393,630,378,662.48/x - Step 3: Cross multiply
620,387,647,175.12x = 929,278,268,305.84 × 393,630,378,662.48 - Step 4: Simplify right side
620,387,647,175.12x = 365,792,156,636,041,430,695,936 - Step 5: Solve for x
x = 365,792,156,636,041,430,695,936/620,387,647,175.12 - Step 6: Final answer
x = 589,618,697,763.64
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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.