Finding the Fourth Proportional to 2,113,735,310,929.20, 3,169,305,386,872.70 and 821,437,646,614.90
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Solution
The fourth proportional to 2,113,735,310,929.20, 3,169,305,386,872.70 and 821,437,646,614.90 is: 1,231,652,205,900.93
Step by Step Solution
- Step 1: Write the proportion equation
2,113,735,310,929.20 : 3,169,305,386,872.70 = 821,437,646,614.90 : x - Step 2: Convert to fraction form
2,113,735,310,929.20/3,169,305,386,872.70 = 821,437,646,614.90/x - Step 3: Cross multiply
2,113,735,310,929.20x = 3,169,305,386,872.70 × 821,437,646,614.90 - Step 4: Simplify right side
2,113,735,310,929.20x = 2,603,386,758,396,636,246,835,200 - Step 5: Solve for x
x = 2,603,386,758,396,636,246,835,200/2,113,735,310,929.20 - Step 6: Final answer
x = 1,231,652,205,900.93
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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.