Finding the Fourth Proportional to 270,492,794.70, 405,756,023.04 and 97,971,102.84
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Solution
The fourth proportional to 270,492,794.70, 405,756,023.04 and 97,971,102.84 is: 146,962,750.36
Step by Step Solution
- Step 1: Write the proportion equation
270,492,794.70 : 405,756,023.04 = 97,971,102.84 : x - Step 2: Convert to fraction form
270,492,794.70/405,756,023.04 = 97,971,102.84/x - Step 3: Cross multiply
270,492,794.70x = 405,756,023.04 × 97,971,102.84 - Step 4: Simplify right side
270,492,794.70x = 39,752,365,061,201,256 - Step 5: Solve for x
x = 39,752,365,061,201,256/270,492,794.70 - Step 6: Final answer
x = 146,962,750.36
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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.