Finding the Fourth Proportional to 2,165,750,047,087, 2,988,806,741,100 and 1,190,302,497,744.80
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Solution
The fourth proportional to 2,165,750,047,087, 2,988,806,741,100 and 1,190,302,497,744.80 is: 1,642,656,840,290.91
Step by Step Solution
- Step 1: Write the proportion equation
2,165,750,047,087 : 2,988,806,741,100 = 1,190,302,497,744.80 : x - Step 2: Convert to fraction form
2,165,750,047,087/2,988,806,741,100 = 1,190,302,497,744.80/x - Step 3: Cross multiply
2,165,750,047,087x = 2,988,806,741,100 × 1,190,302,497,744.80 - Step 4: Simplify right side
2,165,750,047,087x = 3,557,584,129,207,825,795,645,440 - Step 5: Solve for x
x = 3,557,584,129,207,825,795,645,440/2,165,750,047,087 - Step 6: Final answer
x = 1,642,656,840,290.91
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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.