Finding the Fourth Proportional to 4,899,527,057,482, 6,761,312,943,563 and 2,674,747,565,087
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Solution
The fourth proportional to 4,899,527,057,482, 6,761,312,943,563 and 2,674,747,565,087 is: 3,691,132,862,501.35
Step by Step Solution
- Step 1: Write the proportion equation
4,899,527,057,482 : 6,761,312,943,563 = 2,674,747,565,087 : x - Step 2: Convert to fraction form
4,899,527,057,482/6,761,312,943,563 = 2,674,747,565,087/x - Step 3: Cross multiply
4,899,527,057,482x = 6,761,312,943,563 × 2,674,747,565,087 - Step 4: Simplify right side
4,899,527,057,482x = 18,084,805,332,586,351,395,078,144 - Step 5: Solve for x
x = 18,084,805,332,586,351,395,078,144/4,899,527,057,482 - Step 6: Final answer
x = 3,691,132,862,501.35
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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.