Finding the Fourth Proportional to 208,656,277,629.70, 312,984,416,444.55 and 208,656,277,629.70
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Solution
The fourth proportional to 208,656,277,629.70, 312,984,416,444.55 and 208,656,277,629.70 is: 312,984,416,444.55
Step by Step Solution
- Step 1: Write the proportion equation
208,656,277,629.70 : 312,984,416,444.55 = 208,656,277,629.70 : x - Step 2: Convert to fraction form
208,656,277,629.70/312,984,416,444.55 = 208,656,277,629.70/x - Step 3: Cross multiply
208,656,277,629.70x = 312,984,416,444.55 × 208,656,277,629.70 - Step 4: Simplify right side
208,656,277,629.70x = 65,306,163,291,423,672,107,008 - Step 5: Solve for x
x = 65,306,163,291,423,672,107,008/208,656,277,629.70 - Step 6: Final answer
x = 312,984,416,444.55
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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.