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Finding the Fourth Proportional to 604,396,323.54, 906,779,507.04 and 309,500,240.86

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Solution

The fourth proportional to 604,396,323.54, 906,779,507.04 and 309,500,240.86 is: 464,345,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,396,323.54 : 906,779,507.04 = 309,500,240.86 : x
  2. Step 2: Convert to fraction form
    604,396,323.54/906,779,507.04 = 309,500,240.86/x
  3. Step 3: Cross multiply
    604,396,323.54x = 906,779,507.04 × 309,500,240.86
  4. Step 4: Simplify right side
    604,396,323.54x = 280,648,475,835,792,064
  5. Step 5: Solve for x
    x = 280,648,475,835,792,064/604,396,323.54
  6. Step 6: Final answer
    x = 464,345,107.51

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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.