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Finding the Fourth Proportional to 858,667,814.40, 1,288,001,721.60 and 858,667,814.40

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Solution

The fourth proportional to 858,667,814.40, 1,288,001,721.60 and 858,667,814.40 is: 1,288,001,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,667,814.40 : 1,288,001,721.60 = 858,667,814.40 : x
  2. Step 2: Convert to fraction form
    858,667,814.40/1,288,001,721.60 = 858,667,814.40/x
  3. Step 3: Cross multiply
    858,667,814.40x = 1,288,001,721.60 × 858,667,814.40
  4. Step 4: Simplify right side
    858,667,814.40x = 1,105,965,623,229,709,184
  5. Step 5: Solve for x
    x = 1,105,965,623,229,709,184/858,667,814.40
  6. Step 6: Final answer
    x = 1,288,001,721.60

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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.