Finding the Fourth Proportional to 27,266,227,199.09, 40,903,430,253.66 and 9,576,787,049.09
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Solution
The fourth proportional to 27,266,227,199.09, 40,903,430,253.66 and 9,576,787,049.09 is: 14,366,616,923.43
Step by Step Solution
- Step 1: Write the proportion equation
27,266,227,199.09 : 40,903,430,253.66 = 9,576,787,049.09 : x - Step 2: Convert to fraction form
27,266,227,199.09/40,903,430,253.66 = 9,576,787,049.09/x - Step 3: Cross multiply
27,266,227,199.09x = 40,903,430,253.66 × 9,576,787,049.09 - Step 4: Simplify right side
27,266,227,199.09x = 391,723,441,116,402,679,808 - Step 5: Solve for x
x = 391,723,441,116,402,679,808/27,266,227,199.09 - Step 6: Final answer
x = 14,366,616,923.43
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1.5x scale
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.