Finding the Fourth Proportional to 10,656,328,229,596, 15,956,963,396,774 and 7,354,630,456,862
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Solution
The fourth proportional to 10,656,328,229,596, 15,956,963,396,774 and 7,354,630,456,862 is: 11,012,946,154,474.39
Step by Step Solution
- Step 1: Write the proportion equation
10,656,328,229,596 : 15,956,963,396,774 = 7,354,630,456,862 : x - Step 2: Convert to fraction form
10,656,328,229,596/15,956,963,396,774 = 7,354,630,456,862/x - Step 3: Cross multiply
10,656,328,229,596x = 15,956,963,396,774 × 7,354,630,456,862 - Step 4: Simplify right side
10,656,328,229,596x = 117,357,568,996,946,170,485,932,032 - Step 5: Solve for x
x = 117,357,568,996,946,170,485,932,032/10,656,328,229,596 - Step 6: Final answer
x = 11,012,946,154,474.39
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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.