Finding the Fourth Proportional to 29,419,805,923,311, 40,600,565,591,055 and 16,919,545,724,602
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Solution
The fourth proportional to 29,419,805,923,311, 40,600,565,591,055 and 16,919,545,724,602 is: 23,349,682,447,029.79
Step by Step Solution
- Step 1: Write the proportion equation
29,419,805,923,311 : 40,600,565,591,055 = 16,919,545,724,602 : x - Step 2: Convert to fraction form
29,419,805,923,311/40,600,565,591,055 = 16,919,545,724,602/x - Step 3: Cross multiply
29,419,805,923,311x = 40,600,565,591,055 × 16,919,545,724,602 - Step 4: Simplify right side
29,419,805,923,311x = 686,943,125,962,557,708,295,995,392 - Step 5: Solve for x
x = 686,943,125,962,557,708,295,995,392/29,419,805,923,311 - Step 6: Final answer
x = 23,349,682,447,029.79
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Double scale
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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.