Finding the Fourth Proportional to 130,380,722,305.05, 195,571,083,457.58 and 130,380,722,305.05
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Solution
The fourth proportional to 130,380,722,305.05, 195,571,083,457.58 and 130,380,722,305.05 is: 195,571,083,457.58
Step by Step Solution
- Step 1: Write the proportion equation
130,380,722,305.05 : 195,571,083,457.58 = 130,380,722,305.05 : x - Step 2: Convert to fraction form
130,380,722,305.05/195,571,083,457.58 = 130,380,722,305.05/x - Step 3: Cross multiply
130,380,722,305.05x = 195,571,083,457.58 × 130,380,722,305.05 - Step 4: Simplify right side
130,380,722,305.05x = 25,498,699,123,180,494,127,104 - Step 5: Solve for x
x = 25,498,699,123,180,494,127,104/130,380,722,305.05 - Step 6: Final answer
x = 195,571,083,457.58
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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.