Finding the Fourth Proportional to 409,037,496,772.09, 564,489,178,248.58 and 228,596,398,705.93
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Solution
The fourth proportional to 409,037,496,772.09, 564,489,178,248.58 and 228,596,398,705.93 is: 315,472,772,727.23
Step by Step Solution
- Step 1: Write the proportion equation
409,037,496,772.09 : 564,489,178,248.58 = 228,596,398,705.93 : x - Step 2: Convert to fraction form
409,037,496,772.09/564,489,178,248.58 = 228,596,398,705.93/x - Step 3: Cross multiply
409,037,496,772.09x = 564,489,178,248.58 × 228,596,398,705.93 - Step 4: Simplify right side
409,037,496,772.09x = 129,040,193,256,095,160,991,744 - Step 5: Solve for x
x = 129,040,193,256,095,160,991,744/409,037,496,772.09 - Step 6: Final answer
x = 315,472,772,727.23
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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.