Finding the Fourth Proportional to 1,487,511,062,497.40, 2,231,266,593,746.10 and 481,457,536,662.20
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Solution
The fourth proportional to 1,487,511,062,497.40, 2,231,266,593,746.10 and 481,457,536,662.20 is: 722,186,304,993.30
Step by Step Solution
- Step 1: Write the proportion equation
1,487,511,062,497.40 : 2,231,266,593,746.10 = 481,457,536,662.20 : x - Step 2: Convert to fraction form
1,487,511,062,497.40/2,231,266,593,746.10 = 481,457,536,662.20/x - Step 3: Cross multiply
1,487,511,062,497.40x = 2,231,266,593,746.10 × 481,457,536,662.20 - Step 4: Simplify right side
1,487,511,062,497.40x = 1,074,260,117,861,655,071,686,656 - Step 5: Solve for x
x = 1,074,260,117,861,655,071,686,656/1,487,511,062,497.40 - Step 6: Final answer
x = 722,186,304,993.30
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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.