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Finding the Fourth Proportional to 504,727,216.20, 707,638,469.40 and 504,727,216.20

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Solution

The fourth proportional to 504,727,216.20, 707,638,469.40 and 504,727,216.20 is: 707,638,469.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,727,216.20 : 707,638,469.40 = 504,727,216.20 : x
  2. Step 2: Convert to fraction form
    504,727,216.20/707,638,469.40 = 504,727,216.20/x
  3. Step 3: Cross multiply
    504,727,216.20x = 707,638,469.40 × 504,727,216.20
  4. Step 4: Simplify right side
    504,727,216.20x = 357,164,394,736,290,880
  5. Step 5: Solve for x
    x = 357,164,394,736,290,880/504,727,216.20
  6. Step 6: Final answer
    x = 707,638,469.40

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Double scale
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1.5x scale

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.