Finding the Fourth Proportional to 314,367,440.20, 471,551,160.30 and 142,180,556.20
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Solution
The fourth proportional to 314,367,440.20, 471,551,160.30 and 142,180,556.20 is: 213,270,834.30
Step by Step Solution
- Step 1: Write the proportion equation
314,367,440.20 : 471,551,160.30 = 142,180,556.20 : x - Step 2: Convert to fraction form
314,367,440.20/471,551,160.30 = 142,180,556.20/x - Step 3: Cross multiply
314,367,440.20x = 471,551,160.30 × 142,180,556.20 - Step 4: Simplify right side
314,367,440.20x = 67,045,406,248,209,352 - Step 5: Solve for x
x = 67,045,406,248,209,352/314,367,440.20 - Step 6: Final answer
x = 213,270,834.30
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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.