Finding the Fourth Proportional to 1,264,207,466,009.20, 1,744,307,288,778.90 and 715,498,770,739.09
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Solution
The fourth proportional to 1,264,207,466,009.20, 1,744,307,288,778.90 and 715,498,770,739.09 is: 987,219,071,607.24
Step by Step Solution
- Step 1: Write the proportion equation
1,264,207,466,009.20 : 1,744,307,288,778.90 = 715,498,770,739.09 : x - Step 2: Convert to fraction form
1,264,207,466,009.20/1,744,307,288,778.90 = 715,498,770,739.09/x - Step 3: Cross multiply
1,264,207,466,009.20x = 1,744,307,288,778.90 × 715,498,770,739.09 - Step 4: Simplify right side
1,264,207,466,009.20x = 1,248,049,720,912,537,668,550,656 - Step 5: Solve for x
x = 1,248,049,720,912,537,668,550,656/1,264,207,466,009.20 - Step 6: Final answer
x = 987,219,071,607.24
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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.