Finding the Fourth Proportional to 264,616,593,107.23, 396,924,867,770.16 and 73,388,628,286.65
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Solution
The fourth proportional to 264,616,593,107.23, 396,924,867,770.16 and 73,388,628,286.65 is: 110,082,936,358.82
Step by Step Solution
- Step 1: Write the proportion equation
264,616,593,107.23 : 396,924,867,770.16 = 73,388,628,286.65 : x - Step 2: Convert to fraction form
264,616,593,107.23/396,924,867,770.16 = 73,388,628,286.65/x - Step 3: Cross multiply
264,616,593,107.23x = 396,924,867,770.16 × 73,388,628,286.65 - Step 4: Simplify right side
264,616,593,107.23x = 29,129,771,578,511,968,960,512 - Step 5: Solve for x
x = 29,129,771,578,511,968,960,512/264,616,593,107.23 - Step 6: Final answer
x = 110,082,936,358.82
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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.