Finding the Fourth Proportional to 409,037,496,774.09, 564,489,178,251.34 and 228,596,398,707.93
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Solution
The fourth proportional to 409,037,496,774.09, 564,489,178,251.34 and 228,596,398,707.93 is: 315,472,772,729.99
Step by Step Solution
- Step 1: Write the proportion equation
409,037,496,774.09 : 564,489,178,251.34 = 228,596,398,707.93 : x - Step 2: Convert to fraction form
409,037,496,774.09/564,489,178,251.34 = 228,596,398,707.93/x - Step 3: Cross multiply
409,037,496,774.09x = 564,489,178,251.34 × 228,596,398,707.93 - Step 4: Simplify right side
409,037,496,774.09x = 129,040,193,257,855,074,172,928 - Step 5: Solve for x
x = 129,040,193,257,855,074,172,928/409,037,496,774.09 - Step 6: Final answer
x = 315,472,772,729.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.