Finding the Fourth Proportional to 48,183,812,958,564, 72,289,899,754,164 and 15,546,961,796,664
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Solution
The fourth proportional to 48,183,812,958,564, 72,289,899,754,164 and 15,546,961,796,664 is: 23,325,018,107,827.07
Step by Step Solution
- Step 1: Write the proportion equation
48,183,812,958,564 : 72,289,899,754,164 = 15,546,961,796,664 : x - Step 2: Convert to fraction form
48,183,812,958,564/72,289,899,754,164 = 15,546,961,796,664/x - Step 3: Cross multiply
48,183,812,958,564x = 72,289,899,754,164 × 15,546,961,796,664 - Step 4: Simplify right side
48,183,812,958,564x = 1,123,888,309,762,657,967,505,670,144 - Step 5: Solve for x
x = 1,123,888,309,762,657,967,505,670,144/48,183,812,958,564 - Step 6: Final answer
x = 23,325,018,107,827.07
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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.