Finding the Fourth Proportional to 452,202,873,938.97, 678,504,617,971.99 and 237,020,277,201.78
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Solution
The fourth proportional to 452,202,873,938.97, 678,504,617,971.99 and 237,020,277,201.78 is: 355,635,405,926.49
Step by Step Solution
- Step 1: Write the proportion equation
452,202,873,938.97 : 678,504,617,971.99 = 237,020,277,201.78 : x - Step 2: Convert to fraction form
452,202,873,938.97/678,504,617,971.99 = 237,020,277,201.78/x - Step 3: Cross multiply
452,202,873,938.97x = 678,504,617,971.99 × 237,020,277,201.78 - Step 4: Simplify right side
452,202,873,938.97x = 160,819,352,634,408,917,008,384 - Step 5: Solve for x
x = 160,819,352,634,408,917,008,384/452,202,873,938.97 - Step 6: Final answer
x = 355,635,405,926.49
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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.