Finding the Fourth Proportional to 277,498,148,936.13, 416,166,472,178.95 and 107,479,817,493.03
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Solution
The fourth proportional to 277,498,148,936.13, 416,166,472,178.95 and 107,479,817,493.03 is: 161,188,449,897.76
Step by Step Solution
- Step 1: Write the proportion equation
277,498,148,936.13 : 416,166,472,178.95 = 107,479,817,493.03 : x - Step 2: Convert to fraction form
277,498,148,936.13/416,166,472,178.95 = 107,479,817,493.03/x - Step 3: Cross multiply
277,498,148,936.13x = 416,166,472,178.95 × 107,479,817,493.03 - Step 4: Simplify right side
277,498,148,936.13x = 44,729,496,476,511,692,128,256 - Step 5: Solve for x
x = 44,729,496,476,511,692,128,256/277,498,148,936.13 - Step 6: Final answer
x = 161,188,449,897.76
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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.