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Finding the Fourth Proportional to 176,149,728,001.67, 264,224,592,002.51 and 176,149,728,001.67

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Solution

The fourth proportional to 176,149,728,001.67, 264,224,592,002.51 and 176,149,728,001.67 is: 264,224,592,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149,728,001.67 : 264,224,592,002.51 = 176,149,728,001.67 : x
  2. Step 2: Convert to fraction form
    176,149,728,001.67/264,224,592,002.51 = 176,149,728,001.67/x
  3. Step 3: Cross multiply
    176,149,728,001.67x = 264,224,592,002.51 × 176,149,728,001.67
  4. Step 4: Simplify right side
    176,149,728,001.67x = 46,543,090,012,594,368,413,696
  5. Step 5: Solve for x
    x = 46,543,090,012,594,368,413,696/176,149,728,001.67
  6. Step 6: Final answer
    x = 264,224,592,002.51

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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.