Finding the Fourth Proportional to 314,351,170,417.60, 471,526,755,626.40 and 115,563,326,027.20
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Solution
The fourth proportional to 314,351,170,417.60, 471,526,755,626.40 and 115,563,326,027.20 is: 173,344,989,040.80
Step by Step Solution
- Step 1: Write the proportion equation
314,351,170,417.60 : 471,526,755,626.40 = 115,563,326,027.20 : x - Step 2: Convert to fraction form
314,351,170,417.60/471,526,755,626.40 = 115,563,326,027.20/x - Step 3: Cross multiply
314,351,170,417.60x = 471,526,755,626.40 × 115,563,326,027.20 - Step 4: Simplify right side
314,351,170,417.60x = 54,491,200,191,001,530,466,304 - Step 5: Solve for x
x = 54,491,200,191,001,530,466,304/314,351,170,417.60 - Step 6: Final answer
x = 173,344,989,040.80
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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.