Finding the Fourth Proportional to 7,264,954,647,412.80, 10,020,913,457,254 and 4,659,542,173,403.60
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Solution
The fourth proportional to 7,264,954,647,412.80, 10,020,913,457,254 and 4,659,542,173,403.60 is: 6,427,138,383,682.96
Step by Step Solution
- Step 1: Write the proportion equation
7,264,954,647,412.80 : 10,020,913,457,254 = 4,659,542,173,403.60 : x - Step 2: Convert to fraction form
7,264,954,647,412.80/10,020,913,457,254 = 4,659,542,173,403.60/x - Step 3: Cross multiply
7,264,954,647,412.80x = 10,020,913,457,254 × 4,659,542,173,403.60 - Step 4: Simplify right side
7,264,954,647,412.80x = 46,692,868,870,102,683,001,815,040 - Step 5: Solve for x
x = 46,692,868,870,102,683,001,815,040/7,264,954,647,412.80 - Step 6: Final answer
x = 6,427,138,383,682.96
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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.