Finding the Fourth Proportional to 1,189,689,257,729, 1,641,776,735,418.50 and 675,883,246,122.54
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Solution
The fourth proportional to 1,189,689,257,729, 1,641,776,735,418.50 and 675,883,246,122.54 is: 932,722,038,241.59
Step by Step Solution
- Step 1: Write the proportion equation
1,189,689,257,729 : 1,641,776,735,418.50 = 675,883,246,122.54 : x - Step 2: Convert to fraction form
1,189,689,257,729/1,641,776,735,418.50 = 675,883,246,122.54/x - Step 3: Cross multiply
1,189,689,257,729x = 1,641,776,735,418.50 × 675,883,246,122.54 - Step 4: Simplify right side
1,189,689,257,729x = 1,109,649,389,343,122,365,874,176 - Step 5: Solve for x
x = 1,109,649,389,343,122,365,874,176/1,189,689,257,729 - Step 6: Final answer
x = 932,722,038,241.59
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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.