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Finding the Fourth Proportional to 504,974,723.10, 705,242,743.50 and 504,974,723.10

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Solution

The fourth proportional to 504,974,723.10, 705,242,743.50 and 504,974,723.10 is: 705,242,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,974,723.10 : 705,242,743.50 = 504,974,723.10 : x
  2. Step 2: Convert to fraction form
    504,974,723.10/705,242,743.50 = 504,974,723.10/x
  3. Step 3: Cross multiply
    504,974,723.10x = 705,242,743.50 × 504,974,723.10
  4. Step 4: Simplify right side
    504,974,723.10x = 356,129,759,117,196,864
  5. Step 5: Solve for x
    x = 356,129,759,117,196,864/504,974,723.10
  6. Step 6: Final answer
    x = 705,242,743.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.