Finding the Fourth Proportional to 7,968,117,165.75, 10,992,030,068.42 and 4,750,758,072.82
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Solution
The fourth proportional to 7,968,117,165.75, 10,992,030,068.42 and 4,750,758,072.82 is: 6,553,678,177.41
Step by Step Solution
- Step 1: Write the proportion equation
7,968,117,165.75 : 10,992,030,068.42 = 4,750,758,072.82 : x - Step 2: Convert to fraction form
7,968,117,165.75/10,992,030,068.42 = 4,750,758,072.82/x - Step 3: Cross multiply
7,968,117,165.75x = 10,992,030,068.42 × 4,750,758,072.82 - Step 4: Simplify right side
7,968,117,165.75x = 52,220,475,584,226,492,416 - Step 5: Solve for x
x = 52,220,475,584,226,492,416/7,968,117,165.75 - Step 6: Final answer
x = 6,553,678,177.41
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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.