Finding the Fourth Proportional to 509,951,149,442.20, 764,926,724,163.30 and 211,677,549,851.80
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Solution
The fourth proportional to 509,951,149,442.20, 764,926,724,163.30 and 211,677,549,851.80 is: 317,516,324,777.70
Step by Step Solution
- Step 1: Write the proportion equation
509,951,149,442.20 : 764,926,724,163.30 = 211,677,549,851.80 : x - Step 2: Convert to fraction form
509,951,149,442.20/764,926,724,163.30 = 211,677,549,851.80/x - Step 3: Cross multiply
509,951,149,442.20x = 764,926,724,163.30 × 211,677,549,851.80 - Step 4: Simplify right side
509,951,149,442.20x = 161,917,814,787,050,995,449,856 - Step 5: Solve for x
x = 161,917,814,787,050,995,449,856/509,951,149,442.20 - Step 6: Final answer
x = 317,516,324,777.70
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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.