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Finding the Fourth Proportional to 176,149,728,006.67, 264,224,592,010.02 and 176,149,728,006.67

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Solution

The fourth proportional to 176,149,728,006.67, 264,224,592,010.02 and 176,149,728,006.67 is: 264,224,592,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149,728,006.67 : 264,224,592,010.02 = 176,149,728,006.67 : x
  2. Step 2: Convert to fraction form
    176,149,728,006.67/264,224,592,010.02 = 176,149,728,006.67/x
  3. Step 3: Cross multiply
    176,149,728,006.67x = 264,224,592,010.02 × 176,149,728,006.67
  4. Step 4: Simplify right side
    176,149,728,006.67x = 46,543,090,015,238,373,769,216
  5. Step 5: Solve for x
    x = 46,543,090,015,238,373,769,216/176,149,728,006.67
  6. Step 6: Final answer
    x = 264,224,592,010.02

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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.