Finding the Fourth Proportional to 541,437,511,794, 747,201,685,305.70 and 297,575,624,458.53
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Solution
The fourth proportional to 541,437,511,794, 747,201,685,305.70 and 297,575,624,458.53 is: 410,664,210,103.54
Step by Step Solution
- Step 1: Write the proportion equation
541,437,511,794 : 747,201,685,305.70 = 297,575,624,458.53 : x - Step 2: Convert to fraction form
541,437,511,794/747,201,685,305.70 = 297,575,624,458.53/x - Step 3: Cross multiply
541,437,511,794x = 747,201,685,305.70 × 297,575,624,458.53 - Step 4: Simplify right side
541,437,511,794x = 222,349,008,101,309,717,413,888 - Step 5: Solve for x
x = 222,349,008,101,309,717,413,888/541,437,511,794 - Step 6: Final answer
x = 410,664,210,103.54
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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.