Finding the Fourth Proportional to 176,149,730,914.05, 264,224,596,371.09 and 176,149,730,914.05
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Solution
The fourth proportional to 176,149,730,914.05, 264,224,596,371.09 and 176,149,730,914.05 is: 264,224,596,371.09
Step by Step Solution
- Step 1: Write the proportion equation
176,149,730,914.05 : 264,224,596,371.09 = 176,149,730,914.05 : x - Step 2: Convert to fraction form
176,149,730,914.05/264,224,596,371.09 = 176,149,730,914.05/x - Step 3: Cross multiply
176,149,730,914.05x = 264,224,596,371.09 × 176,149,730,914.05 - Step 4: Simplify right side
176,149,730,914.05x = 46,543,091,551,640,970,330,112 - Step 5: Solve for x
x = 46,543,091,551,640,970,330,112/176,149,730,914.05 - Step 6: Final answer
x = 264,224,596,371.09
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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.