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Finding the Fourth Proportional to 446,970,564.30, 670,455,846.46 and 446,970,564.30

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Solution

The fourth proportional to 446,970,564.30, 670,455,846.46 and 446,970,564.30 is: 670,455,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,970,564.30 : 670,455,846.46 = 446,970,564.30 : x
  2. Step 2: Convert to fraction form
    446,970,564.30/670,455,846.46 = 446,970,564.30/x
  3. Step 3: Cross multiply
    446,970,564.30x = 670,455,846.46 × 446,970,564.30
  4. Step 4: Simplify right side
    446,970,564.30x = 299,674,028,030,460,352
  5. Step 5: Solve for x
    x = 299,674,028,030,460,352/446,970,564.30
  6. Step 6: Final answer
    x = 670,455,846.46

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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.