Finding the Fourth Proportional to 130,380,717,163.80, 195,571,075,745.70 and 130,380,717,163.80
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Solution
The fourth proportional to 130,380,717,163.80, 195,571,075,745.70 and 130,380,717,163.80 is: 195,571,075,745.70
Step by Step Solution
- Step 1: Write the proportion equation
130,380,717,163.80 : 195,571,075,745.70 = 130,380,717,163.80 : x - Step 2: Convert to fraction form
130,380,717,163.80/195,571,075,745.70 = 130,380,717,163.80/x - Step 3: Cross multiply
130,380,717,163.80x = 195,571,075,745.70 × 130,380,717,163.80 - Step 4: Simplify right side
130,380,717,163.80x = 25,498,697,112,220,220,784,640 - Step 5: Solve for x
x = 25,498,697,112,220,220,784,640/130,380,717,163.80 - Step 6: Final answer
x = 195,571,075,745.70
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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.