Finding the Fourth Proportional to 18,756,926,983,676, 25,885,187,067,499 and 10,423,764,905,820
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Solution
The fourth proportional to 18,756,926,983,676, 25,885,187,067,499 and 10,423,764,905,820 is: 14,385,144,473,271.39
Step by Step Solution
- Step 1: Write the proportion equation
18,756,926,983,676 : 25,885,187,067,499 = 10,423,764,905,820 : x - Step 2: Convert to fraction form
18,756,926,983,676/25,885,187,067,499 = 10,423,764,905,820/x - Step 3: Cross multiply
18,756,926,983,676x = 25,885,187,067,499 × 10,423,764,905,820 - Step 4: Simplify right side
18,756,926,983,676x = 269,821,104,534,781,800,635,957,248 - Step 5: Solve for x
x = 269,821,104,534,781,800,635,957,248/18,756,926,983,676 - Step 6: Final answer
x = 14,385,144,473,271.39
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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.