Finding the Fourth Proportional to 811,204,993.09, 1,216,637,216.16 and 228,803,039.38
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Solution
The fourth proportional to 811,204,993.09, 1,216,637,216.16 and 228,803,039.38 is: 343,156,532.88
Step by Step Solution
- Step 1: Write the proportion equation
811,204,993.09 : 1,216,637,216.16 = 228,803,039.38 : x - Step 2: Convert to fraction form
811,204,993.09/1,216,637,216.16 = 228,803,039.38/x - Step 3: Cross multiply
811,204,993.09x = 1,216,637,216.16 × 228,803,039.38 - Step 4: Simplify right side
811,204,993.09x = 278,370,292,880,230,080 - Step 5: Solve for x
x = 278,370,292,880,230,080/811,204,993.09 - Step 6: Final answer
x = 343,156,532.88
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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.