Finding the Fourth Proportional to 105,290,854,578.97, 157,930,719,446.05 and 34,536,245,358.49
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Solution
The fourth proportional to 105,290,854,578.97, 157,930,719,446.05 and 34,536,245,358.49 is: 51,802,543,518.54
Step by Step Solution
- Step 1: Write the proportion equation
105,290,854,578.97 : 157,930,719,446.05 = 34,536,245,358.49 : x - Step 2: Convert to fraction form
105,290,854,578.97/157,930,719,446.05 = 34,536,245,358.49/x - Step 3: Cross multiply
105,290,854,578.97x = 157,930,719,446.05 × 34,536,245,358.49 - Step 4: Simplify right side
105,290,854,578.97x = 5,454,334,076,431,630,336,000 - Step 5: Solve for x
x = 5,454,334,076,431,630,336,000/105,290,854,578.97 - Step 6: Final answer
x = 51,802,543,518.54
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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.