Finding the Fourth Proportional to 566,062,479,821.80, 849,212,986,152.48 and 183,576,731,102.26
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Solution
The fourth proportional to 566,062,479,821.80, 849,212,986,152.48 and 183,576,731,102.26 is: 275,403,775,315.65
Step by Step Solution
- Step 1: Write the proportion equation
566,062,479,821.80 : 849,212,986,152.48 = 183,576,731,102.26 : x - Step 2: Convert to fraction form
566,062,479,821.80/849,212,986,152.48 = 183,576,731,102.26/x - Step 3: Cross multiply
566,062,479,821.80x = 849,212,986,152.48 × 183,576,731,102.26 - Step 4: Simplify right side
566,062,479,821.80x = 155,895,744,007,461,056,544,768 - Step 5: Solve for x
x = 155,895,744,007,461,056,544,768/566,062,479,821.80 - Step 6: Final answer
x = 275,403,775,315.65
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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.