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Finding the Fourth Proportional to 264,409,969.60, 396,614,954.40 and 264,409,969.60

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Solution

The fourth proportional to 264,409,969.60, 396,614,954.40 and 264,409,969.60 is: 396,614,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,409,969.60 : 396,614,954.40 = 264,409,969.60 : x
  2. Step 2: Convert to fraction form
    264,409,969.60/396,614,954.40 = 264,409,969.60/x
  3. Step 3: Cross multiply
    264,409,969.60x = 396,614,954.40 × 264,409,969.60
  4. Step 4: Simplify right side
    264,409,969.60x = 104,868,948,035,809,376
  5. Step 5: Solve for x
    x = 104,868,948,035,809,376/264,409,969.60
  6. Step 6: Final answer
    x = 396,614,954.40

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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.