Finding the Fourth Proportional to 449,028,566,207.95, 673,542,857,093.40 and 109,065,453,478.49
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Solution
The fourth proportional to 449,028,566,207.95, 673,542,857,093.40 and 109,065,453,478.49 is: 163,598,182,107.79
Step by Step Solution
- Step 1: Write the proportion equation
449,028,566,207.95 : 673,542,857,093.40 = 109,065,453,478.49 : x - Step 2: Convert to fraction form
449,028,566,207.95/673,542,857,093.40 = 109,065,453,478.49/x - Step 3: Cross multiply
449,028,566,207.95x = 673,542,857,093.40 × 109,065,453,478.49 - Step 4: Simplify right side
449,028,566,207.95x = 73,460,257,146,089,460,727,808 - Step 5: Solve for x
x = 73,460,257,146,089,460,727,808/449,028,566,207.95 - Step 6: Final answer
x = 163,598,182,107.79
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.