Finding the Fourth Proportional to 541,437,511,794.40, 747,201,685,306.20 and 297,575,624,458.90
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Solution
The fourth proportional to 541,437,511,794.40, 747,201,685,306.20 and 297,575,624,458.90 is: 410,664,210,104.02
Step by Step Solution
- Step 1: Write the proportion equation
541,437,511,794.40 : 747,201,685,306.20 = 297,575,624,458.90 : x - Step 2: Convert to fraction form
541,437,511,794.40/747,201,685,306.20 = 297,575,624,458.90/x - Step 3: Cross multiply
541,437,511,794.40x = 747,201,685,306.20 × 297,575,624,458.90 - Step 4: Simplify right side
541,437,511,794.40x = 222,349,008,101,734,952,730,624 - Step 5: Solve for x
x = 222,349,008,101,734,952,730,624/541,437,511,794.40 - Step 6: Final answer
x = 410,664,210,104.02
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.