Finding the Fourth Proportional to 2,113,735,310,918.20, 3,169,305,386,856.50 and 821,437,646,604.03
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Solution
The fourth proportional to 2,113,735,310,918.20, 3,169,305,386,856.50 and 821,437,646,604.03 is: 1,231,652,205,884.75
Step by Step Solution
- Step 1: Write the proportion equation
2,113,735,310,918.20 : 3,169,305,386,856.50 = 821,437,646,604.03 : x - Step 2: Convert to fraction form
2,113,735,310,918.20/3,169,305,386,856.50 = 821,437,646,604.03/x - Step 3: Cross multiply
2,113,735,310,918.20x = 3,169,305,386,856.50 × 821,437,646,604.03 - Step 4: Simplify right side
2,113,735,310,918.20x = 2,603,386,758,348,878,357,987,328 - Step 5: Solve for x
x = 2,603,386,758,348,878,357,987,328/2,113,735,310,918.20 - Step 6: Final answer
x = 1,231,652,205,884.75
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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.