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Finding the Fourth Proportional to 45,362,138.40, 67,948,729.20 and 45,362,138.40

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Solution

The fourth proportional to 45,362,138.40, 67,948,729.20 and 45,362,138.40 is: 67,948,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,362,138.40 : 67,948,729.20 = 45,362,138.40 : x
  2. Step 2: Convert to fraction form
    45,362,138.40/67,948,729.20 = 45,362,138.40/x
  3. Step 3: Cross multiply
    45,362,138.40x = 67,948,729.20 × 45,362,138.40
  4. Step 4: Simplify right side
    45,362,138.40x = 3,082,299,658,074,521.50
  5. Step 5: Solve for x
    x = 3,082,299,658,074,521.50/45,362,138.40
  6. Step 6: Final answer
    x = 67,948,729.20

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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.