Finding the Fourth Proportional to 2,013,006,988,302.40, 3,019,510,517,617 and 483,183,289,559.44
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Solution
The fourth proportional to 2,013,006,988,302.40, 3,019,510,517,617 and 483,183,289,559.44 is: 724,774,942,779.45
Step by Step Solution
- Step 1: Write the proportion equation
2,013,006,988,302.40 : 3,019,510,517,617 = 483,183,289,559.44 : x - Step 2: Convert to fraction form
2,013,006,988,302.40/3,019,510,517,617 = 483,183,289,559.44/x - Step 3: Cross multiply
2,013,006,988,302.40x = 3,019,510,517,617 × 483,183,289,559.44 - Step 4: Simplify right side
2,013,006,988,302.40x = 1,458,977,024,761,509,470,797,824 - Step 5: Solve for x
x = 1,458,977,024,761,509,470,797,824/2,013,006,988,302.40 - Step 6: Final answer
x = 724,774,942,779.45
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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.