Finding the Fourth Proportional to 1,681,516,181.97, 2,320,562,828.34 and 967,052,293.44
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Solution
The fourth proportional to 1,681,516,181.97, 2,320,562,828.34 and 967,052,293.44 is: 1,334,572,708.42
Step by Step Solution
- Step 1: Write the proportion equation
1,681,516,181.97 : 2,320,562,828.34 = 967,052,293.44 : x - Step 2: Convert to fraction form
1,681,516,181.97/2,320,562,828.34 = 967,052,293.44/x - Step 3: Cross multiply
1,681,516,181.97x = 2,320,562,828.34 × 967,052,293.44 - Step 4: Simplify right side
1,681,516,181.97x = 2,244,105,605,217,810,432 - Step 5: Solve for x
x = 2,244,105,605,217,810,432/1,681,516,181.97 - Step 6: Final answer
x = 1,334,572,708.42
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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.