Finding the Fourth Proportional to 541,148,542,071.92, 746,785,477,513.24 and 297,293,807,890.26
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Solution
The fourth proportional to 541,148,542,071.92, 746,785,477,513.24 and 297,293,807,890.26 is: 410,265,723,782.64
Step by Step Solution
- Step 1: Write the proportion equation
541,148,542,071.92 : 746,785,477,513.24 = 297,293,807,890.26 : x - Step 2: Convert to fraction form
541,148,542,071.92/746,785,477,513.24 = 297,293,807,890.26/x - Step 3: Cross multiply
541,148,542,071.92x = 746,785,477,513.24 × 297,293,807,890.26 - Step 4: Simplify right side
541,148,542,071.92x = 222,014,698,287,057,269,161,984 - Step 5: Solve for x
x = 222,014,698,287,057,269,161,984/541,148,542,071.92 - Step 6: Final answer
x = 410,265,723,782.64
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.