Finding the Fourth Proportional to 47,758,857,155,904, 71,645,448,723,198 and 16,774,466,092,104
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Solution
The fourth proportional to 47,758,857,155,904, 71,645,448,723,198 and 16,774,466,092,104 is: 25,164,215,013,304.42
Step by Step Solution
- Step 1: Write the proportion equation
47,758,857,155,904 : 71,645,448,723,198 = 16,774,466,092,104 : x - Step 2: Convert to fraction form
47,758,857,155,904/71,645,448,723,198 = 16,774,466,092,104/x - Step 3: Cross multiply
47,758,857,155,904x = 71,645,448,723,198 × 16,774,466,092,104 - Step 4: Simplify right side
47,758,857,155,904x = 1,201,814,150,260,860,652,928,106,496 - Step 5: Solve for x
x = 1,201,814,150,260,860,652,928,106,496/47,758,857,155,904 - Step 6: Final answer
x = 25,164,215,013,304.42
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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.