Finding the Fourth Proportional to 3,546,637,163,181.40, 5,319,418,220,233.80 and 965,260,827,576.16
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Solution
The fourth proportional to 3,546,637,163,181.40, 5,319,418,220,233.80 and 965,260,827,576.16 is: 1,447,744,947,464.75
Step by Step Solution
- Step 1: Write the proportion equation
3,546,637,163,181.40 : 5,319,418,220,233.80 = 965,260,827,576.16 : x - Step 2: Convert to fraction form
3,546,637,163,181.40/5,319,418,220,233.80 = 965,260,827,576.16/x - Step 3: Cross multiply
3,546,637,163,181.40x = 5,319,418,220,233.80 × 965,260,827,576.16 - Step 4: Simplify right side
3,546,637,163,181.40x = 5,134,626,033,486,582,266,200,064 - Step 5: Solve for x
x = 5,134,626,033,486,582,266,200,064/3,546,637,163,181.40 - Step 6: Final answer
x = 1,447,744,947,464.75
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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.