Finding the Fourth Proportional to 2,120,699,441,777.60, 3,181,049,204,704.50 and 509,033,322,819.70
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Solution
The fourth proportional to 2,120,699,441,777.60, 3,181,049,204,704.50 and 509,033,322,819.70 is: 763,549,994,319.99
Step by Step Solution
- Step 1: Write the proportion equation
2,120,699,441,777.60 : 3,181,049,204,704.50 = 509,033,322,819.70 : x - Step 2: Convert to fraction form
2,120,699,441,777.60/3,181,049,204,704.50 = 509,033,322,819.70/x - Step 3: Cross multiply
2,120,699,441,777.60x = 3,181,049,204,704.50 × 509,033,322,819.70 - Step 4: Simplify right side
2,120,699,441,777.60x = 1,619,260,046,723,695,629,041,664 - Step 5: Solve for x
x = 1,619,260,046,723,695,629,041,664/2,120,699,441,777.60 - Step 6: Final answer
x = 763,549,994,319.99
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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.