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Finding the Fourth Proportional to 457,667,723.40, 686,501,585.10 and 457,667,723.40

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Solution

The fourth proportional to 457,667,723.40, 686,501,585.10 and 457,667,723.40 is: 686,501,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,667,723.40 : 686,501,585.10 = 457,667,723.40 : x
  2. Step 2: Convert to fraction form
    457,667,723.40/686,501,585.10 = 457,667,723.40/x
  3. Step 3: Cross multiply
    457,667,723.40x = 686,501,585.10 × 457,667,723.40
  4. Step 4: Simplify right side
    457,667,723.40x = 314,189,617,563,208,384
  5. Step 5: Solve for x
    x = 314,189,617,563,208,384/457,667,723.40
  6. Step 6: Final answer
    x = 686,501,585.10

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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.