Finding the Fourth Proportional to 1,189,689,257,738.20, 1,641,776,735,431 and 675,883,246,131.80
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Solution
The fourth proportional to 1,189,689,257,738.20, 1,641,776,735,431 and 675,883,246,131.80 is: 932,722,038,254.26
Step by Step Solution
- Step 1: Write the proportion equation
1,189,689,257,738.20 : 1,641,776,735,431 = 675,883,246,131.80 : x - Step 2: Convert to fraction form
1,189,689,257,738.20/1,641,776,735,431 = 675,883,246,131.80/x - Step 3: Cross multiply
1,189,689,257,738.20x = 1,641,776,735,431 × 675,883,246,131.80 - Step 4: Simplify right side
1,189,689,257,738.20x = 1,109,649,389,366,773,677,031,424 - Step 5: Solve for x
x = 1,109,649,389,366,773,677,031,424/1,189,689,257,738.20 - Step 6: Final answer
x = 932,722,038,254.26
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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.