Finding the Fourth Proportional to 2,564,243,618,829.20, 3,846,489,124,778.40 and 843,153,852,734.25
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Solution
The fourth proportional to 2,564,243,618,829.20, 3,846,489,124,778.40 and 843,153,852,734.25 is: 1,264,771,451,995.69
Step by Step Solution
- Step 1: Write the proportion equation
2,564,243,618,829.20 : 3,846,489,124,778.40 = 843,153,852,734.25 : x - Step 2: Convert to fraction form
2,564,243,618,829.20/3,846,489,124,778.40 = 843,153,852,734.25/x - Step 3: Cross multiply
2,564,243,618,829.20x = 3,846,489,124,778.40 × 843,153,852,734.25 - Step 4: Simplify right side
2,564,243,618,829.20x = 3,243,182,125,057,301,123,432,448 - Step 5: Solve for x
x = 3,243,182,125,057,301,123,432,448/2,564,243,618,829.20 - Step 6: Final answer
x = 1,264,771,451,995.69
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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.