Finding the Fourth Proportional to 5,438,197,496,414, 7,508,100,048,206.20 and 3,461,731,328,810.60
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Solution
The fourth proportional to 5,438,197,496,414, 7,508,100,048,206.20 and 3,461,731,328,810.60 is: 4,779,345,577,989.49
Step by Step Solution
- Step 1: Write the proportion equation
5,438,197,496,414 : 7,508,100,048,206.20 = 3,461,731,328,810.60 : x - Step 2: Convert to fraction form
5,438,197,496,414/7,508,100,048,206.20 = 3,461,731,328,810.60/x - Step 3: Cross multiply
5,438,197,496,414x = 7,508,100,048,206.20 × 3,461,731,328,810.60 - Step 4: Simplify right side
5,438,197,496,414x = 25,991,025,156,719,779,474,571,264 - Step 5: Solve for x
x = 25,991,025,156,719,779,474,571,264/5,438,197,496,414 - Step 6: Final answer
x = 4,779,345,577,989.49
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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.