Finding the Fourth Proportional to 9,837,431,822,806, 13,576,082,656,174 and 5,447,762,262,271
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Solution
The fourth proportional to 9,837,431,822,806, 13,576,082,656,174 and 5,447,762,262,271 is: 7,518,148,241,934.21
Step by Step Solution
- Step 1: Write the proportion equation
9,837,431,822,806 : 13,576,082,656,174 = 5,447,762,262,271 : x - Step 2: Convert to fraction form
9,837,431,822,806/13,576,082,656,174 = 5,447,762,262,271/x - Step 3: Cross multiply
9,837,431,822,806x = 13,576,082,656,174 × 5,447,762,262,271 - Step 4: Simplify right side
9,837,431,822,806x = 73,959,270,763,776,557,845,577,728 - Step 5: Solve for x
x = 73,959,270,763,776,557,845,577,728/9,837,431,822,806 - Step 6: Final answer
x = 7,518,148,241,934.21
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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.