Finding the Fourth Proportional to 7,770,701,865.72, 10,723,600,883.58 and 4,202,408,771.76
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Solution
The fourth proportional to 7,770,701,865.72, 10,723,600,883.58 and 4,202,408,771.76 is: 5,799,341,577.73
Step by Step Solution
- Step 1: Write the proportion equation
7,770,701,865.72 : 10,723,600,883.58 = 4,202,408,771.76 : x - Step 2: Convert to fraction form
7,770,701,865.72/10,723,600,883.58 = 4,202,408,771.76/x - Step 3: Cross multiply
7,770,701,865.72x = 10,723,600,883.58 × 4,202,408,771.76 - Step 4: Simplify right side
7,770,701,865.72x = 45,064,954,418,009,882,624 - Step 5: Solve for x
x = 45,064,954,418,009,882,624/7,770,701,865.72 - Step 6: Final answer
x = 5,799,341,577.73
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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.