Finding the Fourth Proportional to 199,723,609,008.14, 299,555,143,611.53 and 54,357,234,769.20
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Solution
The fourth proportional to 199,723,609,008.14, 299,555,143,611.53 and 54,357,234,769.20 is: 81,527,613,828.32
Step by Step Solution
- Step 1: Write the proportion equation
199,723,609,008.14 : 299,555,143,611.53 = 54,357,234,769.20 : x - Step 2: Convert to fraction form
199,723,609,008.14/299,555,143,611.53 = 54,357,234,769.20/x - Step 3: Cross multiply
199,723,609,008.14x = 299,555,143,611.53 × 54,357,234,769.20 - Step 4: Simplify right side
199,723,609,008.14x = 16,282,989,267,613,357,441,024 - Step 5: Solve for x
x = 16,282,989,267,613,357,441,024/199,723,609,008.14 - Step 6: Final answer
x = 81,527,613,828.32
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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.