Finding the Fourth Proportional to 906,472,656,562.55, 1,250,949,677,852.80 and 494,957,451,523.88
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Solution
The fourth proportional to 906,472,656,562.55, 1,250,949,677,852.80 and 494,957,451,523.88 is: 683,050,790,392.94
Step by Step Solution
- Step 1: Write the proportion equation
906,472,656,562.55 : 1,250,949,677,852.80 = 494,957,451,523.88 : x - Step 2: Convert to fraction form
906,472,656,562.55/1,250,949,677,852.80 = 494,957,451,523.88/x - Step 3: Cross multiply
906,472,656,562.55x = 1,250,949,677,852.80 × 494,957,451,523.88 - Step 4: Simplify right side
906,472,656,562.55x = 619,166,864,534,640,655,335,424 - Step 5: Solve for x
x = 619,166,864,534,640,655,335,424/906,472,656,562.55 - Step 6: Final answer
x = 683,050,790,392.94
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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.