Finding the Fourth Proportional to 2,099,537,901.20, 3,149,306,851.80 and 1,320,657,971.60
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Solution
The fourth proportional to 2,099,537,901.20, 3,149,306,851.80 and 1,320,657,971.60 is: 1,980,986,957.40
Step by Step Solution
- Step 1: Write the proportion equation
2,099,537,901.20 : 3,149,306,851.80 = 1,320,657,971.60 : x - Step 2: Convert to fraction form
2,099,537,901.20/3,149,306,851.80 = 1,320,657,971.60/x - Step 3: Cross multiply
2,099,537,901.20x = 3,149,306,851.80 × 1,320,657,971.60 - Step 4: Simplify right side
2,099,537,901.20x = 4,159,157,198,844,169,728 - Step 5: Solve for x
x = 4,159,157,198,844,169,728/2,099,537,901.20 - Step 6: Final answer
x = 1,980,986,957.40
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1.5x scale
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.