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Finding the Fourth Proportional to 472,804,337.80, 708,249,912.90 and 327,402,080.20

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Solution

The fourth proportional to 472,804,337.80, 708,249,912.90 and 327,402,080.20 is: 490,440,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,804,337.80 : 708,249,912.90 = 327,402,080.20 : x
  2. Step 2: Convert to fraction form
    472,804,337.80/708,249,912.90 = 327,402,080.20/x
  3. Step 3: Cross multiply
    472,804,337.80x = 708,249,912.90 × 327,402,080.20
  4. Step 4: Simplify right side
    472,804,337.80x = 231,882,494,784,928,800
  5. Step 5: Solve for x
    x = 231,882,494,784,928,800/472,804,337.80
  6. Step 6: Final answer
    x = 490,440,709.29

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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.