Finding the Fourth Proportional to 355,592,022,993.09, 490,704,295,088.65 and 201,264,389,047.32
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Solution
The fourth proportional to 355,592,022,993.09, 490,704,295,088.65 and 201,264,389,047.32 is: 277,737,670,610.89
Step by Step Solution
- Step 1: Write the proportion equation
355,592,022,993.09 : 490,704,295,088.65 = 201,264,389,047.32 : x - Step 2: Convert to fraction form
355,592,022,993.09/490,704,295,088.65 = 201,264,389,047.32/x - Step 3: Cross multiply
355,592,022,993.09x = 490,704,295,088.65 × 201,264,389,047.32 - Step 4: Simplify right side
355,592,022,993.09x = 98,761,300,153,912,986,173,440 - Step 5: Solve for x
x = 98,761,300,153,912,986,173,440/355,592,022,993.09 - Step 6: Final answer
x = 277,737,670,610.89
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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.