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Finding the Fourth Proportional to 193,073,544,665.78, 289,610,316,998.67 and 193,073,544,665.78

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Solution

The fourth proportional to 193,073,544,665.78, 289,610,316,998.67 and 193,073,544,665.78 is: 289,610,316,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,073,544,665.78 : 289,610,316,998.67 = 193,073,544,665.78 : x
  2. Step 2: Convert to fraction form
    193,073,544,665.78/289,610,316,998.67 = 193,073,544,665.78/x
  3. Step 3: Cross multiply
    193,073,544,665.78x = 289,610,316,998.67 × 193,073,544,665.78
  4. Step 4: Simplify right side
    193,073,544,665.78x = 55,916,090,474,713,415,942,144
  5. Step 5: Solve for x
    x = 55,916,090,474,713,415,942,144/193,073,544,665.78
  6. Step 6: Final answer
    x = 289,610,316,998.67

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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.