Finding the Fourth Proportional to 327,194,725,907.44, 490,841,162,320.50 and 114,921,444,107.44
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Solution
The fourth proportional to 327,194,725,907.44, 490,841,162,320.50 and 114,921,444,107.44 is: 172,399,402,358.35
Step by Step Solution
- Step 1: Write the proportion equation
327,194,725,907.44 : 490,841,162,320.50 = 114,921,444,107.44 : x - Step 2: Convert to fraction form
327,194,725,907.44/490,841,162,320.50 = 114,921,444,107.44/x - Step 3: Cross multiply
327,194,725,907.44x = 490,841,162,320.50 × 114,921,444,107.44 - Step 4: Simplify right side
327,194,725,907.44x = 56,408,175,201,246,227,988,480 - Step 5: Solve for x
x = 56,408,175,201,246,227,988,480/327,194,725,907.44 - Step 6: Final answer
x = 172,399,402,358.35
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1.5x scale
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.