Finding the Fourth Proportional to 75,789,441,137.99, 104,585,285,223.49 and 41,488,512,142.79
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Solution
The fourth proportional to 75,789,441,137.99, 104,585,285,223.49 and 41,488,512,142.79 is: 57,251,878,504.44
Step by Step Solution
- Step 1: Write the proportion equation
75,789,441,137.99 : 104,585,285,223.49 = 41,488,512,142.79 : x - Step 2: Convert to fraction form
75,789,441,137.99/104,585,285,223.49 = 41,488,512,142.79/x - Step 3: Cross multiply
75,789,441,137.99x = 104,585,285,223.49 × 41,488,512,142.79 - Step 4: Simplify right side
75,789,441,137.99x = 4,339,087,875,951,920,939,008 - Step 5: Solve for x
x = 4,339,087,875,951,920,939,008/75,789,441,137.99 - Step 6: Final answer
x = 57,251,878,504.44
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1.5x scale
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.