Finding the Fourth Proportional to 14,497,278,574,321, 20,032,414,202,130 and 10,323,275,389,140
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Solution
The fourth proportional to 14,497,278,574,321, 20,032,414,202,130 and 10,323,275,389,140 is: 14,264,755,102,672.30
Step by Step Solution
- Step 1: Write the proportion equation
14,497,278,574,321 : 20,032,414,202,130 = 10,323,275,389,140 : x - Step 2: Convert to fraction form
14,497,278,574,321/20,032,414,202,130 = 10,323,275,389,140/x - Step 3: Cross multiply
14,497,278,574,321x = 20,032,414,202,130 × 10,323,275,389,140 - Step 4: Simplify right side
14,497,278,574,321x = 206,800,128,517,907,244,315,049,984 - Step 5: Solve for x
x = 206,800,128,517,907,244,315,049,984/14,497,278,574,321 - Step 6: Final answer
x = 14,264,755,102,672.30
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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.