Finding the Fourth Proportional to 430,821,694,920.14, 646,232,542,380.20 and 430,821,694,920.14
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Solution
The fourth proportional to 430,821,694,920.14, 646,232,542,380.20 and 430,821,694,920.14 is: 646,232,542,380.20
Step by Step Solution
- Step 1: Write the proportion equation
430,821,694,920.14 : 646,232,542,380.20 = 430,821,694,920.14 : x - Step 2: Convert to fraction form
430,821,694,920.14/646,232,542,380.20 = 430,821,694,920.14/x - Step 3: Cross multiply
430,821,694,920.14x = 646,232,542,380.20 × 430,821,694,920.14 - Step 4: Simplify right side
430,821,694,920.14x = 278,410,999,220,788,959,117,312 - Step 5: Solve for x
x = 278,410,999,220,788,959,117,312/430,821,694,920.14 - Step 6: Final answer
x = 646,232,542,380.20
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.