Finding the Fourth Proportional to 1,645,265,054.21, 2,270,470,175.61 and 892,578,229.70
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Solution
The fourth proportional to 1,645,265,054.21, 2,270,470,175.61 and 892,578,229.70 is: 1,231,760,344.48
Step by Step Solution
- Step 1: Write the proportion equation
1,645,265,054.21 : 2,270,470,175.61 = 892,578,229.70 : x - Step 2: Convert to fraction form
1,645,265,054.21/2,270,470,175.61 = 892,578,229.70/x - Step 3: Cross multiply
1,645,265,054.21x = 2,270,470,175.61 × 892,578,229.70 - Step 4: Simplify right side
1,645,265,054.21x = 2,026,572,249,932,622,080 - Step 5: Solve for x
x = 2,026,572,249,932,622,080/1,645,265,054.21 - Step 6: Final answer
x = 1,231,760,344.48
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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.