Finding the Fourth Proportional to 466,395,592,201.80, 699,593,388,302.70 and 466,395,592,201.80
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Solution
The fourth proportional to 466,395,592,201.80, 699,593,388,302.70 and 466,395,592,201.80 is: 699,593,388,302.70
Step by Step Solution
- Step 1: Write the proportion equation
466,395,592,201.80 : 699,593,388,302.70 = 466,395,592,201.80 : x - Step 2: Convert to fraction form
466,395,592,201.80/699,593,388,302.70 = 466,395,592,201.80/x - Step 3: Cross multiply
466,395,592,201.80x = 699,593,388,302.70 × 466,395,592,201.80 - Step 4: Simplify right side
466,395,592,201.80x = 326,287,272,637,901,565,853,696 - Step 5: Solve for x
x = 326,287,272,637,901,565,853,696/466,395,592,201.80 - Step 6: Final answer
x = 699,593,388,302.70
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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.