Finding the Fourth Proportional to 416,524,461,412.80, 574,757,797,781.10 and 233,583,916,295.84
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Solution
The fourth proportional to 416,524,461,412.80, 574,757,797,781.10 and 233,583,916,295.84 is: 322,320,031,029.89
Step by Step Solution
- Step 1: Write the proportion equation
416,524,461,412.80 : 574,757,797,781.10 = 233,583,916,295.84 : x - Step 2: Convert to fraction form
416,524,461,412.80/574,757,797,781.10 = 233,583,916,295.84/x - Step 3: Cross multiply
416,524,461,412.80x = 574,757,797,781.10 × 233,583,916,295.84 - Step 4: Simplify right side
416,524,461,412.80x = 134,254,177,327,281,789,206,528 - Step 5: Solve for x
x = 134,254,177,327,281,789,206,528/416,524,461,412.80 - Step 6: Final answer
x = 322,320,031,029.89
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.