Finding the Fourth Proportional to 552,865,266,231.12, 829,297,899,346.56 and 155,371,844,517.12
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Solution
The fourth proportional to 552,865,266,231.12, 829,297,899,346.56 and 155,371,844,517.12 is: 233,057,766,775.65
Step by Step Solution
- Step 1: Write the proportion equation
552,865,266,231.12 : 829,297,899,346.56 = 155,371,844,517.12 : x - Step 2: Convert to fraction form
552,865,266,231.12/829,297,899,346.56 = 155,371,844,517.12/x - Step 3: Cross multiply
552,865,266,231.12x = 829,297,899,346.56 × 155,371,844,517.12 - Step 4: Simplify right side
552,865,266,231.12x = 128,849,544,275,647,956,779,008 - Step 5: Solve for x
x = 128,849,544,275,647,956,779,008/552,865,266,231.12 - Step 6: Final answer
x = 233,057,766,775.65
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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.