Finding the Fourth Proportional to 1,403,378,497.37, 2,107,137,099.83 and 782,806,205.75
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Solution
The fourth proportional to 1,403,378,497.37, 2,107,137,099.83 and 782,806,205.75 is: 1,175,363,596.63
Step by Step Solution
- Step 1: Write the proportion equation
1,403,378,497.37 : 2,107,137,099.83 = 782,806,205.75 : x - Step 2: Convert to fraction form
1,403,378,497.37/2,107,137,099.83 = 782,806,205.75/x - Step 3: Cross multiply
1,403,378,497.37x = 2,107,137,099.83 × 782,806,205.75 - Step 4: Simplify right side
1,403,378,497.37x = 1,649,479,998,098,531,584 - Step 5: Solve for x
x = 1,649,479,998,098,531,584/1,403,378,497.37 - Step 6: Final answer
x = 1,175,363,596.63
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.