Finding the Fourth Proportional to 205,266,114.10, 283,264,982.34 and 111,177,920.26
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Solution
The fourth proportional to 205,266,114.10, 283,264,982.34 and 111,177,920.26 is: 153,424,308.52
Step by Step Solution
- Step 1: Write the proportion equation
205,266,114.10 : 283,264,982.34 = 111,177,920.26 : x - Step 2: Convert to fraction form
205,266,114.10/283,264,982.34 = 111,177,920.26/x - Step 3: Cross multiply
205,266,114.10x = 283,264,982.34 × 111,177,920.26 - Step 4: Simplify right side
205,266,114.10x = 31,492,811,617,700,508 - Step 5: Solve for x
x = 31,492,811,617,700,508/205,266,114.10 - Step 6: Final answer
x = 153,424,308.52
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.