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Finding the Fourth Proportional to 420,768,015.90, 631,152,023.85 and 420,768,015.90

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Solution

The fourth proportional to 420,768,015.90, 631,152,023.85 and 420,768,015.90 is: 631,152,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,768,015.90 : 631,152,023.85 = 420,768,015.90 : x
  2. Step 2: Convert to fraction form
    420,768,015.90/631,152,023.85 = 420,768,015.90/x
  3. Step 3: Cross multiply
    420,768,015.90x = 631,152,023.85 × 420,768,015.90
  4. Step 4: Simplify right side
    420,768,015.90x = 265,568,584,806,633,984
  5. Step 5: Solve for x
    x = 265,568,584,806,633,984/420,768,015.90
  6. Step 6: Final answer
    x = 631,152,023.85

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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.