Finding the Fourth Proportional to 230,135,547.24, 345,200,958.50 and 133,029,466.74
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Solution
The fourth proportional to 230,135,547.24, 345,200,958.50 and 133,029,466.74 is: 199,542,834.55
Step by Step Solution
- Step 1: Write the proportion equation
230,135,547.24 : 345,200,958.50 = 133,029,466.74 : x - Step 2: Convert to fraction form
230,135,547.24/345,200,958.50 = 133,029,466.74/x - Step 3: Cross multiply
230,135,547.24x = 345,200,958.50 × 133,029,466.74 - Step 4: Simplify right side
230,135,547.24x = 45,921,899,426,726,720 - Step 5: Solve for x
x = 45,921,899,426,726,720/230,135,547.24 - Step 6: Final answer
x = 199,542,834.55
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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.