Finding the Fourth Proportional to 75,057,995,872.09, 103,582,057,043.73 and 44,160,437,465.74
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Solution
The fourth proportional to 75,057,995,872.09, 103,582,057,043.73 and 44,160,437,465.74 is: 60,942,593,783.71
Step by Step Solution
- Step 1: Write the proportion equation
75,057,995,872.09 : 103,582,057,043.73 = 44,160,437,465.74 : x - Step 2: Convert to fraction form
75,057,995,872.09/103,582,057,043.73 = 44,160,437,465.74/x - Step 3: Cross multiply
75,057,995,872.09x = 103,582,057,043.73 × 44,160,437,465.74 - Step 4: Simplify right side
75,057,995,872.09x = 4,574,228,952,652,351,799,296 - Step 5: Solve for x
x = 4,574,228,952,652,351,799,296/75,057,995,872.09 - Step 6: Final answer
x = 60,942,593,783.71
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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.