Finding the Fourth Proportional to 205,313,697.24, 306,843,344.40 and 150,097,771.49
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Solution
The fourth proportional to 205,313,697.24, 306,843,344.40 and 150,097,771.49 is: 224,322,599.07
Step by Step Solution
- Step 1: Write the proportion equation
205,313,697.24 : 306,843,344.40 = 150,097,771.49 : x - Step 2: Convert to fraction form
205,313,697.24/306,843,344.40 = 150,097,771.49/x - Step 3: Cross multiply
205,313,697.24x = 306,843,344.40 × 150,097,771.49 - Step 4: Simplify right side
205,313,697.24x = 46,056,502,189,444,352 - Step 5: Solve for x
x = 46,056,502,189,444,352/205,313,697.24 - Step 6: Final answer
x = 224,322,599.07
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.