Finding the Fourth Proportional to 2,378,341,183.68, 3,567,547,652.04 and 825,681,826.44
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Solution
The fourth proportional to 2,378,341,183.68, 3,567,547,652.04 and 825,681,826.44 is: 1,238,535,194.81
Step by Step Solution
- Step 1: Write the proportion equation
2,378,341,183.68 : 3,567,547,652.04 = 825,681,826.44 : x - Step 2: Convert to fraction form
2,378,341,183.68/3,567,547,652.04 = 825,681,826.44/x - Step 3: Cross multiply
2,378,341,183.68x = 3,567,547,652.04 × 825,681,826.44 - Step 4: Simplify right side
2,378,341,183.68x = 2,945,659,261,248,120,832 - Step 5: Solve for x
x = 2,945,659,261,248,120,832/2,378,341,183.68 - Step 6: Final answer
x = 1,238,535,194.81
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.