Finding the Fourth Proportional to 47,758,857,155,936, 71,645,448,723,248 and 16,774,466,092,136
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Solution
The fourth proportional to 47,758,857,155,936, 71,645,448,723,248 and 16,774,466,092,136 is: 25,164,215,013,353.12
Step by Step Solution
- Step 1: Write the proportion equation
47,758,857,155,936 : 71,645,448,723,248 = 16,774,466,092,136 : x - Step 2: Convert to fraction form
47,758,857,155,936/71,645,448,723,248 = 16,774,466,092,136/x - Step 3: Cross multiply
47,758,857,155,936x = 71,645,448,723,248 × 16,774,466,092,136 - Step 4: Simplify right side
47,758,857,155,936x = 1,201,814,150,263,992,062,044,012,544 - Step 5: Solve for x
x = 1,201,814,150,263,992,062,044,012,544/47,758,857,155,936 - Step 6: Final answer
x = 25,164,215,013,353.12
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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.