Finding the Fourth Proportional to 737,822,876,821.90, 1,106,734,315,232.90 and 440,039,053,257.10
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Solution
The fourth proportional to 737,822,876,821.90, 1,106,734,315,232.90 and 440,039,053,257.10 is: 660,058,579,885.68
Step by Step Solution
- Step 1: Write the proportion equation
737,822,876,821.90 : 1,106,734,315,232.90 = 440,039,053,257.10 : x - Step 2: Convert to fraction form
737,822,876,821.90/1,106,734,315,232.90 = 440,039,053,257.10/x - Step 3: Cross multiply
737,822,876,821.90x = 1,106,734,315,232.90 × 440,039,053,257.10 - Step 4: Simplify right side
737,822,876,821.90x = 487,006,320,282,230,105,047,040 - Step 5: Solve for x
x = 487,006,320,282,230,105,047,040/737,822,876,821.90 - Step 6: Final answer
x = 660,058,579,885.68
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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.