Finding the Fourth Proportional to 507,853,467,202, 700,837,899,135 and 279,482,709,188.08
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Solution
The fourth proportional to 507,853,467,202, 700,837,899,135 and 279,482,709,188.08 is: 385,686,201,634.27
Step by Step Solution
- Step 1: Write the proportion equation
507,853,467,202 : 700,837,899,135 = 279,482,709,188.08 : x - Step 2: Convert to fraction form
507,853,467,202/700,837,899,135 = 279,482,709,188.08/x - Step 3: Cross multiply
507,853,467,202x = 700,837,899,135 × 279,482,709,188.08 - Step 4: Simplify right side
507,853,467,202x = 195,872,074,751,932,173,910,016 - Step 5: Solve for x
x = 195,872,074,751,932,173,910,016/507,853,467,202 - Step 6: Final answer
x = 385,686,201,634.27
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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.