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Finding the Fourth Proportional to 46,980,138.40, 65,839,378.40 and 46,980,138.40

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Solution

The fourth proportional to 46,980,138.40, 65,839,378.40 and 46,980,138.40 is: 65,839,378.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,980,138.40 : 65,839,378.40 = 46,980,138.40 : x
  2. Step 2: Convert to fraction form
    46,980,138.40/65,839,378.40 = 46,980,138.40/x
  3. Step 3: Cross multiply
    46,980,138.40x = 65,839,378.40 × 46,980,138.40
  4. Step 4: Simplify right side
    46,980,138.40x = 3,093,143,109,401,970.50
  5. Step 5: Solve for x
    x = 3,093,143,109,401,970.50/46,980,138.40
  6. Step 6: Final answer
    x = 65,839,378.40

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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.