Finding the Fourth Proportional to 264,224,592,006.26, 396,336,888,009.39 and 264,224,592,006.26
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Solution
The fourth proportional to 264,224,592,006.26, 396,336,888,009.39 and 264,224,592,006.26 is: 396,336,888,009.39
Step by Step Solution
- Step 1: Write the proportion equation
264,224,592,006.26 : 396,336,888,009.39 = 264,224,592,006.26 : x - Step 2: Convert to fraction form
264,224,592,006.26/396,336,888,009.39 = 264,224,592,006.26/x - Step 3: Cross multiply
264,224,592,006.26x = 396,336,888,009.39 × 264,224,592,006.26 - Step 4: Simplify right side
264,224,592,006.26x = 104,721,952,531,311,834,955,776 - Step 5: Solve for x
x = 104,721,952,531,311,834,955,776/264,224,592,006.26 - Step 6: Final answer
x = 396,336,888,009.39
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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.