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Finding the Fourth Proportional to 176,149,728,004.67, 264,224,592,007.01 and 176,149,728,004.67

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Solution

The fourth proportional to 176,149,728,004.67, 264,224,592,007.01 and 176,149,728,004.67 is: 264,224,592,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149,728,004.67 : 264,224,592,007.01 = 176,149,728,004.67 : x
  2. Step 2: Convert to fraction form
    176,149,728,004.67/264,224,592,007.01 = 176,149,728,004.67/x
  3. Step 3: Cross multiply
    176,149,728,004.67x = 264,224,592,007.01 × 176,149,728,004.67
  4. Step 4: Simplify right side
    176,149,728,004.67x = 46,543,090,014,179,723,051,008
  5. Step 5: Solve for x
    x = 46,543,090,014,179,723,051,008/176,149,728,004.67
  6. Step 6: Final answer
    x = 264,224,592,007.01

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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.