Finding the Fourth Proportional to 14,861,738,430.51, 20,509,202,381.76 and 8,178,734,995.26
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Solution
The fourth proportional to 14,861,738,430.51, 20,509,202,381.76 and 8,178,734,995.26 is: 11,286,656,135.75
Step by Step Solution
- Step 1: Write the proportion equation
14,861,738,430.51 : 20,509,202,381.76 = 8,178,734,995.26 : x - Step 2: Convert to fraction form
14,861,738,430.51/20,509,202,381.76 = 8,178,734,995.26/x - Step 3: Cross multiply
14,861,738,430.51x = 20,509,202,381.76 × 8,178,734,995.26 - Step 4: Simplify right side
14,861,738,430.51x = 167,739,331,244,570,247,168 - Step 5: Solve for x
x = 167,739,331,244,570,247,168/14,861,738,430.51 - Step 6: Final answer
x = 11,286,656,135.75
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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.