Finding the Fourth Proportional to 734,195,814.21, 1,101,330,315.86 and 209,642,716.05
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Solution
The fourth proportional to 734,195,814.21, 1,101,330,315.86 and 209,642,716.05 is: 314,474,523.30
Step by Step Solution
- Step 1: Write the proportion equation
734,195,814.21 : 1,101,330,315.86 = 209,642,716.05 : x - Step 2: Convert to fraction form
734,195,814.21/1,101,330,315.86 = 209,642,716.05/x - Step 3: Cross multiply
734,195,814.21x = 1,101,330,315.86 × 209,642,716.05 - Step 4: Simplify right side
734,195,814.21x = 230,885,878,684,046,592 - Step 5: Solve for x
x = 230,885,878,684,046,592/734,195,814.21 - Step 6: Final answer
x = 314,474,523.30
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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.