Finding the Fourth Proportional to 2,300,471,242.96, 3,447,195,198.12 and 1,365,953,764.54
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Solution
The fourth proportional to 2,300,471,242.96, 3,447,195,198.12 and 1,365,953,764.54 is: 2,046,845,520.19
Step by Step Solution
- Step 1: Write the proportion equation
2,300,471,242.96 : 3,447,195,198.12 = 1,365,953,764.54 : x - Step 2: Convert to fraction form
2,300,471,242.96/3,447,195,198.12 = 1,365,953,764.54/x - Step 3: Cross multiply
2,300,471,242.96x = 3,447,195,198.12 × 1,365,953,764.54 - Step 4: Simplify right side
2,300,471,242.96x = 4,708,709,257,976,224,768 - Step 5: Solve for x
x = 4,708,709,257,976,224,768/2,300,471,242.96 - Step 6: Final answer
x = 2,046,845,520.19
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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.