Finding the Fourth Proportional to 213,097,218,337.04, 294,036,785,201.16 and 121,603,995,654.80
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Solution
The fourth proportional to 213,097,218,337.04, 294,036,785,201.16 and 121,603,995,654.80 is: 167,792,185,317.97
Step by Step Solution
- Step 1: Write the proportion equation
213,097,218,337.04 : 294,036,785,201.16 = 121,603,995,654.80 : x - Step 2: Convert to fraction form
213,097,218,337.04/294,036,785,201.16 = 121,603,995,654.80/x - Step 3: Cross multiply
213,097,218,337.04x = 294,036,785,201.16 × 121,603,995,654.80 - Step 4: Simplify right side
213,097,218,337.04x = 35,756,047,949,953,218,117,632 - Step 5: Solve for x
x = 35,756,047,949,953,218,117,632/213,097,218,337.04 - Step 6: Final answer
x = 167,792,185,317.97
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.