Finding the Fourth Proportional to 314,177,642,402.44, 471,266,469,838.76 and 75,412,291,497.24
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Solution
The fourth proportional to 314,177,642,402.44, 471,266,469,838.76 and 75,412,291,497.24 is: 113,118,438,742.48
Step by Step Solution
- Step 1: Write the proportion equation
314,177,642,402.44 : 471,266,469,838.76 = 75,412,291,497.24 : x - Step 2: Convert to fraction form
314,177,642,402.44/471,266,469,838.76 = 75,412,291,497.24/x - Step 3: Cross multiply
314,177,642,402.44x = 471,266,469,838.76 × 75,412,291,497.24 - Step 4: Simplify right side
314,177,642,402.44x = 35,539,284,396,355,836,968,960 - Step 5: Solve for x
x = 35,539,284,396,355,836,968,960/314,177,642,402.44 - Step 6: Final answer
x = 113,118,438,742.48
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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.