Finding the Fourth Proportional to 17,613,183,968,571, 24,306,947,218,128 and 9,809,325,720,702.80
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Solution
The fourth proportional to 17,613,183,968,571, 24,306,947,218,128 and 9,809,325,720,702.80 is: 13,537,289,053,700.45
Step by Step Solution
- Step 1: Write the proportion equation
17,613,183,968,571 : 24,306,947,218,128 = 9,809,325,720,702.80 : x - Step 2: Convert to fraction form
17,613,183,968,571/24,306,947,218,128 = 9,809,325,720,702.80/x - Step 3: Cross multiply
17,613,183,968,571x = 24,306,947,218,128 × 9,809,325,720,702.80 - Step 4: Simplify right side
17,613,183,968,571x = 238,434,762,538,548,391,590,232,064 - Step 5: Solve for x
x = 238,434,762,538,548,391,590,232,064/17,613,183,968,571 - Step 6: Final answer
x = 13,537,289,053,700.45
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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.