Finding the Fourth Proportional to 5,412,793,563,769.20, 8,122,767,297,983.80 and 2,548,428,505,480
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Solution
The fourth proportional to 5,412,793,563,769.20, 8,122,767,297,983.80 and 2,548,428,505,480 is: 3,824,326,843,743.15
Step by Step Solution
- Step 1: Write the proportion equation
5,412,793,563,769.20 : 8,122,767,297,983.80 = 2,548,428,505,480 : x - Step 2: Convert to fraction form
5,412,793,563,769.20/8,122,767,297,983.80 = 2,548,428,505,480/x - Step 3: Cross multiply
5,412,793,563,769.20x = 8,122,767,297,983.80 × 2,548,428,505,480 - Step 4: Simplify right side
5,412,793,563,769.20x = 20,700,291,725,562,674,029,789,184 - Step 5: Solve for x
x = 20,700,291,725,562,674,029,789,184/5,412,793,563,769.20 - Step 6: Final answer
x = 3,824,326,843,743.15
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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.