Finding the Fourth Proportional to 202,885,422,711.73, 279,987,350,907.09 and 119,367,817,435.87
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Solution
The fourth proportional to 202,885,422,711.73, 279,987,350,907.09 and 119,367,817,435.87 is: 164,730,804,908.14
Step by Step Solution
- Step 1: Write the proportion equation
202,885,422,711.73 : 279,987,350,907.09 = 119,367,817,435.87 : x - Step 2: Convert to fraction form
202,885,422,711.73/279,987,350,907.09 = 119,367,817,435.87/x - Step 3: Cross multiply
202,885,422,711.73x = 279,987,350,907.09 × 119,367,817,435.87 - Step 4: Simplify right side
202,885,422,711.73x = 33,421,478,987,430,392,496,128 - Step 5: Solve for x
x = 33,421,478,987,430,392,496,128/202,885,422,711.73 - Step 6: Final answer
x = 164,730,804,908.14
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1.5x scale
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.