Finding the Fourth Proportional to 380,968,872,285.36, 525,702,872,302.20 and 220,587,614,439.60
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Solution
The fourth proportional to 380,968,872,285.36, 525,702,872,302.20 and 220,587,614,439.60 is: 304,391,122,060.83
Step by Step Solution
- Step 1: Write the proportion equation
380,968,872,285.36 : 525,702,872,302.20 = 220,587,614,439.60 : x - Step 2: Convert to fraction form
380,968,872,285.36/525,702,872,302.20 = 220,587,614,439.60/x - Step 3: Cross multiply
380,968,872,285.36x = 525,702,872,302.20 × 220,587,614,439.60 - Step 4: Simplify right side
380,968,872,285.36x = 115,963,542,505,187,973,267,456 - Step 5: Solve for x
x = 115,963,542,505,187,973,267,456/380,968,872,285.36 - Step 6: Final answer
x = 304,391,122,060.83
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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.