Finding the Fourth Proportional to 120,122,906.90, 180,184,360.35 and 43,457,767.70
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Solution
The fourth proportional to 120,122,906.90, 180,184,360.35 and 43,457,767.70 is: 65,186,651.55
Step by Step Solution
- Step 1: Write the proportion equation
120,122,906.90 : 180,184,360.35 = 43,457,767.70 : x - Step 2: Convert to fraction form
120,122,906.90/180,184,360.35 = 43,457,767.70/x - Step 3: Cross multiply
120,122,906.90x = 180,184,360.35 × 43,457,767.70 - Step 4: Simplify right side
120,122,906.90x = 7,830,410,075,263,391 - Step 5: Solve for x
x = 7,830,410,075,263,391/120,122,906.90 - Step 6: Final answer
x = 65,186,651.55
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1.5x scale
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.