Finding the Fourth Proportional to 1,535,264,183.65, 2,302,903,022.14 and 486,007,541.97
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Solution
The fourth proportional to 1,535,264,183.65, 2,302,903,022.14 and 486,007,541.97 is: 729,013,448.70
Step by Step Solution
- Step 1: Write the proportion equation
1,535,264,183.65 : 2,302,903,022.14 = 486,007,541.97 : x - Step 2: Convert to fraction form
1,535,264,183.65/2,302,903,022.14 = 486,007,541.97/x - Step 3: Cross multiply
1,535,264,183.65x = 2,302,903,022.14 × 486,007,541.97 - Step 4: Simplify right side
1,535,264,183.65x = 1,119,228,237,185,545,856 - Step 5: Solve for x
x = 1,119,228,237,185,545,856/1,535,264,183.65 - Step 6: Final answer
x = 729,013,448.70
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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.