Finding the Fourth Proportional to 524,379,397,947.10, 723,635,930,752.21 and 292,896,211,125.45
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Solution
The fourth proportional to 524,379,397,947.10, 723,635,930,752.21 and 292,896,211,125.45 is: 404,192,504,856.84
Step by Step Solution
- Step 1: Write the proportion equation
524,379,397,947.10 : 723,635,930,752.21 = 292,896,211,125.45 : x - Step 2: Convert to fraction form
524,379,397,947.10/723,635,930,752.21 = 292,896,211,125.45/x - Step 3: Cross multiply
524,379,397,947.10x = 723,635,930,752.21 × 292,896,211,125.45 - Step 4: Simplify right side
524,379,397,947.10x = 211,950,222,351,560,804,925,440 - Step 5: Solve for x
x = 211,950,222,351,560,804,925,440/524,379,397,947.10 - Step 6: Final answer
x = 404,192,504,856.84
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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.