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Finding the Fourth Proportional to 176,149,728,097.05, 264,224,592,145.59 and 176,149,728,097.05

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Solution

The fourth proportional to 176,149,728,097.05, 264,224,592,145.59 and 176,149,728,097.05 is: 264,224,592,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,149,728,097.05 : 264,224,592,145.59 = 176,149,728,097.05 : x
  2. Step 2: Convert to fraction form
    176,149,728,097.05/264,224,592,145.59 = 176,149,728,097.05/x
  3. Step 3: Cross multiply
    176,149,728,097.05x = 264,224,592,145.59 × 176,149,728,097.05
  4. Step 4: Simplify right side
    176,149,728,097.05x = 46,543,090,062,999,609,671,680
  5. Step 5: Solve for x
    x = 46,543,090,062,999,609,671,680/176,149,728,097.05
  6. Step 6: Final answer
    x = 264,224,592,145.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.