Finding the Fourth Proportional to 205,151,984.49, 283,110,195.69 and 111,067,122.99
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Solution
The fourth proportional to 205,151,984.49, 283,110,195.69 and 111,067,122.99 is: 153,272,877.19
Step by Step Solution
- Step 1: Write the proportion equation
205,151,984.49 : 283,110,195.69 = 111,067,122.99 : x - Step 2: Convert to fraction form
205,151,984.49/283,110,195.69 = 111,067,122.99/x - Step 3: Cross multiply
205,151,984.49x = 283,110,195.69 × 111,067,122.99 - Step 4: Simplify right side
205,151,984.49x = 31,444,234,924,424,196 - Step 5: Solve for x
x = 31,444,234,924,424,196/205,151,984.49 - Step 6: Final answer
x = 153,272,877.19
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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.