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Finding the Fourth Proportional to 471,640,505.93, 707,460,758.89 and 471,640,505.93

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Solution

The fourth proportional to 471,640,505.93, 707,460,758.89 and 471,640,505.93 is: 707,460,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,640,505.93 : 707,460,758.89 = 471,640,505.93 : x
  2. Step 2: Convert to fraction form
    471,640,505.93/707,460,758.89 = 471,640,505.93/x
  3. Step 3: Cross multiply
    471,640,505.93x = 707,460,758.89 × 471,640,505.93
  4. Step 4: Simplify right side
    471,640,505.93x = 333,667,150,244,964,032
  5. Step 5: Solve for x
    x = 333,667,150,244,964,032/471,640,505.93
  6. Step 6: Final answer
    x = 707,460,758.89

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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.