Finding the Fourth Proportional to 47,758,857,155,911, 71,645,448,723,208 and 16,774,466,092,109
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Solution
The fourth proportional to 47,758,857,155,911, 71,645,448,723,208 and 16,774,466,092,109 is: 25,164,215,013,311.75
Step by Step Solution
- Step 1: Write the proportion equation
47,758,857,155,911 : 71,645,448,723,208 = 16,774,466,092,109 : x - Step 2: Convert to fraction form
47,758,857,155,911/71,645,448,723,208 = 16,774,466,092,109/x - Step 3: Cross multiply
47,758,857,155,911x = 71,645,448,723,208 × 16,774,466,092,109 - Step 4: Simplify right side
47,758,857,155,911x = 1,201,814,150,261,386,631,803,043,840 - Step 5: Solve for x
x = 1,201,814,150,261,386,631,803,043,840/47,758,857,155,911 - Step 6: Final answer
x = 25,164,215,013,311.75
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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.