Finding the Fourth Proportional to 7,770,701,784.63, 10,723,600,771.52 and 4,202,408,690.49
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Solution
The fourth proportional to 7,770,701,784.63, 10,723,600,771.52 and 4,202,408,690.49 is: 5,799,341,465.49
Step by Step Solution
- Step 1: Write the proportion equation
7,770,701,784.63 : 10,723,600,771.52 = 4,202,408,690.49 : x - Step 2: Convert to fraction form
7,770,701,784.63/10,723,600,771.52 = 4,202,408,690.49/x - Step 3: Cross multiply
7,770,701,784.63x = 10,723,600,771.52 × 4,202,408,690.49 - Step 4: Simplify right side
7,770,701,784.63x = 45,064,953,075,559,899,136 - Step 5: Solve for x
x = 45,064,953,075,559,899,136/7,770,701,784.63 - Step 6: Final answer
x = 5,799,341,465.49
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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.