Finding the Fourth Proportional to 13,430,988,201.34, 20,135,867,018.28 and 6,704,678,041.09
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Solution
The fourth proportional to 13,430,988,201.34, 20,135,867,018.28 and 6,704,678,041.09 is: 10,051,717,968.33
Step by Step Solution
- Step 1: Write the proportion equation
13,430,988,201.34 : 20,135,867,018.28 = 6,704,678,041.09 : x - Step 2: Convert to fraction form
13,430,988,201.34/20,135,867,018.28 = 6,704,678,041.09/x - Step 3: Cross multiply
13,430,988,201.34x = 20,135,867,018.28 × 6,704,678,041.09 - Step 4: Simplify right side
13,430,988,201.34x = 135,004,505,435,770,290,176 - Step 5: Solve for x
x = 135,004,505,435,770,290,176/13,430,988,201.34 - Step 6: Final answer
x = 10,051,717,968.33
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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.