Finding the Fourth Proportional to 4,134,943,418.97, 5,706,704,335.98 and 2,351,064,160.92
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Solution
The fourth proportional to 4,134,943,418.97, 5,706,704,335.98 and 2,351,064,160.92 is: 3,244,742,837.29
Step by Step Solution
- Step 1: Write the proportion equation
4,134,943,418.97 : 5,706,704,335.98 = 2,351,064,160.92 : x - Step 2: Convert to fraction form
4,134,943,418.97/5,706,704,335.98 = 2,351,064,160.92/x - Step 3: Cross multiply
4,134,943,418.97x = 5,706,704,335.98 × 2,351,064,160.92 - Step 4: Simplify right side
4,134,943,418.97x = 13,416,828,041,289,342,976 - Step 5: Solve for x
x = 13,416,828,041,289,342,976/4,134,943,418.97 - Step 6: Final answer
x = 3,244,742,837.29
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1.5x scale
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.