Finding the Fourth Proportional to 35,681,101,494,700, 49,239,922,430,544 and 19,860,107,800,684
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Solution
The fourth proportional to 35,681,101,494,700, 49,239,922,430,544 and 19,860,107,800,684 is: 27,406,950,082,894.13
Step by Step Solution
- Step 1: Write the proportion equation
35,681,101,494,700 : 49,239,922,430,544 = 19,860,107,800,684 : x - Step 2: Convert to fraction form
35,681,101,494,700/49,239,922,430,544 = 19,860,107,800,684/x - Step 3: Cross multiply
35,681,101,494,700x = 49,239,922,430,544 × 19,860,107,800,684 - Step 4: Simplify right side
35,681,101,494,700x = 977,910,167,567,922,000,836,952,064 - Step 5: Solve for x
x = 977,910,167,567,922,000,836,952,064/35,681,101,494,700 - Step 6: Final answer
x = 27,406,950,082,894.13
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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.