Finding the Fourth Proportional to 1,300,201,632,197.70, 1,950,302,448,296.50 and 848,314,373,828.10
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Solution
The fourth proportional to 1,300,201,632,197.70, 1,950,302,448,296.50 and 848,314,373,828.10 is: 1,272,471,560,742.12
Step by Step Solution
- Step 1: Write the proportion equation
1,300,201,632,197.70 : 1,950,302,448,296.50 = 848,314,373,828.10 : x - Step 2: Convert to fraction form
1,300,201,632,197.70/1,950,302,448,296.50 = 848,314,373,828.10/x - Step 3: Cross multiply
1,300,201,632,197.70x = 1,950,302,448,296.50 × 848,314,373,828.10 - Step 4: Simplify right side
1,300,201,632,197.70x = 1,654,469,600,202,055,776,993,280 - Step 5: Solve for x
x = 1,654,469,600,202,055,776,993,280/1,300,201,632,197.70 - Step 6: Final answer
x = 1,272,471,560,742.12
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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.