Finding the Fourth Proportional to 743,557,588,559.94, 1,115,845,852,824.50 and 259,511,808,760.85
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Solution
The fourth proportional to 743,557,588,559.94, 1,115,845,852,824.50 and 259,511,808,760.85 is: 389,445,525,161.82
Step by Step Solution
- Step 1: Write the proportion equation
743,557,588,559.94 : 1,115,845,852,824.50 = 259,511,808,760.85 : x - Step 2: Convert to fraction form
743,557,588,559.94/1,115,845,852,824.50 = 259,511,808,760.85/x - Step 3: Cross multiply
743,557,588,559.94x = 1,115,845,852,824.50 × 259,511,808,760.85 - Step 4: Simplify right side
743,557,588,559.94x = 289,575,175,564,779,241,603,072 - Step 5: Solve for x
x = 289,575,175,564,779,241,603,072/743,557,588,559.94 - Step 6: Final answer
x = 389,445,525,161.82
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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.