Finding the Fourth Proportional to 13,542,026,175.16, 18,685,753,855.80 and 7,826,842,800
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Solution
The fourth proportional to 13,542,026,175.16, 18,685,753,855.80 and 7,826,842,800 is: 10,799,747,108.53
Step by Step Solution
- Step 1: Write the proportion equation
13,542,026,175.16 : 18,685,753,855.80 = 7,826,842,800 : x - Step 2: Convert to fraction form
13,542,026,175.16/18,685,753,855.80 = 7,826,842,800/x - Step 3: Cross multiply
13,542,026,175.16x = 18,685,753,855.80 × 7,826,842,800 - Step 4: Simplify right side
13,542,026,175.16x = 146,250,458,028,840,468,480 - Step 5: Solve for x
x = 146,250,458,028,840,468,480/13,542,026,175.16 - Step 6: Final answer
x = 10,799,747,108.53
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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.