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Finding the Fourth Proportional to 314,928,319.20, 441,353,143.20 and 314,928,319.20

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Solution

The fourth proportional to 314,928,319.20, 441,353,143.20 and 314,928,319.20 is: 441,353,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,319.20 : 441,353,143.20 = 314,928,319.20 : x
  2. Step 2: Convert to fraction form
    314,928,319.20/441,353,143.20 = 314,928,319.20/x
  3. Step 3: Cross multiply
    314,928,319.20x = 441,353,143.20 × 314,928,319.20
  4. Step 4: Simplify right side
    314,928,319.20x = 138,994,603,561,612,896
  5. Step 5: Solve for x
    x = 138,994,603,561,612,896/314,928,319.20
  6. Step 6: Final answer
    x = 441,353,143.20

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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.