Finding the Fourth Proportional to 541,437,511,794.67, 747,201,685,306.68 and 297,575,624,459.20
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Solution
The fourth proportional to 541,437,511,794.67, 747,201,685,306.68 and 297,575,624,459.20 is: 410,664,210,104.50
Step by Step Solution
- Step 1: Write the proportion equation
541,437,511,794.67 : 747,201,685,306.68 = 297,575,624,459.20 : x - Step 2: Convert to fraction form
541,437,511,794.67/747,201,685,306.68 = 297,575,624,459.20/x - Step 3: Cross multiply
541,437,511,794.67x = 747,201,685,306.68 × 297,575,624,459.20 - Step 4: Simplify right side
541,437,511,794.67x = 222,349,008,102,101,971,107,840 - Step 5: Solve for x
x = 222,349,008,102,101,971,107,840/541,437,511,794.67 - Step 6: Final answer
x = 410,664,210,104.50
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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.