Finding the Fourth Proportional to 282,106,362.06, 423,193,196.97 and 136,435,247.64
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Solution
The fourth proportional to 282,106,362.06, 423,193,196.97 and 136,435,247.64 is: 204,669,147.50
Step by Step Solution
- Step 1: Write the proportion equation
282,106,362.06 : 423,193,196.97 = 136,435,247.64 : x - Step 2: Convert to fraction form
282,106,362.06/423,193,196.97 = 136,435,247.64/x - Step 3: Cross multiply
282,106,362.06x = 423,193,196.97 × 136,435,247.64 - Step 4: Simplify right side
282,106,362.06x = 57,738,468,628,165,248 - Step 5: Solve for x
x = 57,738,468,628,165,248/282,106,362.06 - Step 6: Final answer
x = 204,669,147.50
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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.