Finding the Fourth Proportional to 120,542,398,926.79, 180,814,072,200.99 and 48,833,267,607.67
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Solution
The fourth proportional to 120,542,398,926.79, 180,814,072,200.99 and 48,833,267,607.67 is: 73,250,093,358.32
Step by Step Solution
- Step 1: Write the proportion equation
120,542,398,926.79 : 180,814,072,200.99 = 48,833,267,607.67 : x - Step 2: Convert to fraction form
120,542,398,926.79/180,814,072,200.99 = 48,833,267,607.67/x - Step 3: Cross multiply
120,542,398,926.79x = 180,814,072,200.99 × 48,833,267,607.67 - Step 4: Simplify right side
120,542,398,926.79x = 8,829,741,975,023,508,258,816 - Step 5: Solve for x
x = 8,829,741,975,023,508,258,816/120,542,398,926.79 - Step 6: Final answer
x = 73,250,093,358.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.