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Finding the Fourth Proportional to 314,928,679.70, 441,353,647.90 and 314,928,679.70

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Solution

The fourth proportional to 314,928,679.70, 441,353,647.90 and 314,928,679.70 is: 441,353,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,679.70 : 441,353,647.90 = 314,928,679.70 : x
  2. Step 2: Convert to fraction form
    314,928,679.70/441,353,647.90 = 314,928,679.70/x
  3. Step 3: Cross multiply
    314,928,679.70x = 441,353,647.90 × 314,928,679.70
  4. Step 4: Simplify right side
    314,928,679.70x = 138,994,921,613,925,664
  5. Step 5: Solve for x
    x = 138,994,921,613,925,664/314,928,679.70
  6. Step 6: Final answer
    x = 441,353,647.90

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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.