Finding the Fourth Proportional to 4,512,489,041,841.20, 6,769,626,884,406.40 and 1,289,184,245,463
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Solution
The fourth proportional to 4,512,489,041,841.20, 6,769,626,884,406.40 and 1,289,184,245,463 is: 1,934,031,583,482.49
Step by Step Solution
- Step 1: Write the proportion equation
4,512,489,041,841.20 : 6,769,626,884,406.40 = 1,289,184,245,463 : x - Step 2: Convert to fraction form
4,512,489,041,841.20/6,769,626,884,406.40 = 1,289,184,245,463/x - Step 3: Cross multiply
4,512,489,041,841.20x = 6,769,626,884,406.40 × 1,289,184,245,463 - Step 4: Simplify right side
4,512,489,041,841.20x = 8,727,296,327,039,505,016,029,184 - Step 5: Solve for x
x = 8,727,296,327,039,505,016,029,184/4,512,489,041,841.20 - Step 6: Final answer
x = 1,934,031,583,482.49
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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.