Finding the Fourth Proportional to 4,129,843,561,896.80, 5,699,201,833,712.50 and 2,252,726,772,163
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Solution
The fourth proportional to 4,129,843,561,896.80, 5,699,201,833,712.50 and 2,252,726,772,163 is: 3,108,772,610,473.38
Step by Step Solution
- Step 1: Write the proportion equation
4,129,843,561,896.80 : 5,699,201,833,712.50 = 2,252,726,772,163 : x - Step 2: Convert to fraction form
4,129,843,561,896.80/5,699,201,833,712.50 = 2,252,726,772,163/x - Step 3: Cross multiply
4,129,843,561,896.80x = 5,699,201,833,712.50 × 2,252,726,772,163 - Step 4: Simplify right side
4,129,843,561,896.80x = 12,838,744,550,764,610,330,820,608 - Step 5: Solve for x
x = 12,838,744,550,764,610,330,820,608/4,129,843,561,896.80 - Step 6: Final answer
x = 3,108,772,610,473.38
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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.