Finding the Fourth Proportional to 837,405,398,816.13, 1,256,473,460,309.50 and 293,244,458,458.65
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Solution
The fourth proportional to 837,405,398,816.13, 1,256,473,460,309.50 and 293,244,458,458.65 is: 439,994,630,984.02
Step by Step Solution
- Step 1: Write the proportion equation
837,405,398,816.13 : 1,256,473,460,309.50 = 293,244,458,458.65 : x - Step 2: Convert to fraction form
837,405,398,816.13/1,256,473,460,309.50 = 293,244,458,458.65/x - Step 3: Cross multiply
837,405,398,816.13x = 1,256,473,460,309.50 × 293,244,458,458.65 - Step 4: Simplify right side
837,405,398,816.13x = 368,453,879,436,125,415,669,760 - Step 5: Solve for x
x = 368,453,879,436,125,415,669,760/837,405,398,816.13 - Step 6: Final answer
x = 439,994,630,984.02
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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.