Finding the Fourth Proportional to 770,260,135,934.77, 1,155,389,540,055.50 and 196,576,202,767.56
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Solution
The fourth proportional to 770,260,135,934.77, 1,155,389,540,055.50 and 196,576,202,767.56 is: 294,864,134,732.66
Step by Step Solution
- Step 1: Write the proportion equation
770,260,135,934.77 : 1,155,389,540,055.50 = 196,576,202,767.56 : x - Step 2: Convert to fraction form
770,260,135,934.77/1,155,389,540,055.50 = 196,576,202,767.56/x - Step 3: Cross multiply
770,260,135,934.77x = 1,155,389,540,055.50 × 196,576,202,767.56 - Step 4: Simplify right side
770,260,135,934.77x = 227,122,088,501,467,836,055,552 - Step 5: Solve for x
x = 227,122,088,501,467,836,055,552/770,260,135,934.77 - Step 6: Final answer
x = 294,864,134,732.66
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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.