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Finding the Fourth Proportional to 342,147,629.20, 480,216,004.40 and 342,147,629.20

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Solution

The fourth proportional to 342,147,629.20, 480,216,004.40 and 342,147,629.20 is: 480,216,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,147,629.20 : 480,216,004.40 = 342,147,629.20 : x
  2. Step 2: Convert to fraction form
    342,147,629.20/480,216,004.40 = 342,147,629.20/x
  3. Step 3: Cross multiply
    342,147,629.20x = 480,216,004.40 × 342,147,629.20
  4. Step 4: Simplify right side
    342,147,629.20x = 164,304,767,409,356,768
  5. Step 5: Solve for x
    x = 164,304,767,409,356,768/342,147,629.20
  6. Step 6: Final answer
    x = 480,216,004.40

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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.