Finding the Fourth Proportional to 5,946,247,129.11, 8,206,036,780.53 and 3,406,419,965.08
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Solution
The fourth proportional to 5,946,247,129.11, 8,206,036,780.53 and 3,406,419,965.08 is: 4,700,983,143.89
Step by Step Solution
- Step 1: Write the proportion equation
5,946,247,129.11 : 8,206,036,780.53 = 3,406,419,965.08 : x - Step 2: Convert to fraction form
5,946,247,129.11/8,206,036,780.53 = 3,406,419,965.08/x - Step 3: Cross multiply
5,946,247,129.11x = 8,206,036,780.53 × 3,406,419,965.08 - Step 4: Simplify right side
5,946,247,129.11x = 27,953,207,523,378,196,480 - Step 5: Solve for x
x = 27,953,207,523,378,196,480/5,946,247,129.11 - Step 6: Final answer
x = 4,700,983,143.89
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.