Finding the Fourth Proportional to 541,437,511,773.96, 747,201,685,278.05 and 297,575,624,438.46
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Solution
The fourth proportional to 541,437,511,773.96, 747,201,685,278.05 and 297,575,624,438.46 is: 410,664,210,075.85
Step by Step Solution
- Step 1: Write the proportion equation
541,437,511,773.96 : 747,201,685,278.05 = 297,575,624,438.46 : x - Step 2: Convert to fraction form
541,437,511,773.96/747,201,685,278.05 = 297,575,624,438.46/x - Step 3: Cross multiply
541,437,511,773.96x = 747,201,685,278.05 × 297,575,624,438.46 - Step 4: Simplify right side
541,437,511,773.96x = 222,349,008,078,085,419,958,272 - Step 5: Solve for x
x = 222,349,008,078,085,419,958,272/541,437,511,773.96 - Step 6: Final answer
x = 410,664,210,075.85
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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.