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Finding the Fourth Proportional to 317,952,023.20, 446,153,199.20 and 317,952,023.20

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Solution

The fourth proportional to 317,952,023.20, 446,153,199.20 and 317,952,023.20 is: 446,153,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,952,023.20 : 446,153,199.20 = 317,952,023.20 : x
  2. Step 2: Convert to fraction form
    317,952,023.20/446,153,199.20 = 317,952,023.20/x
  3. Step 3: Cross multiply
    317,952,023.20x = 446,153,199.20 × 317,952,023.20
  4. Step 4: Simplify right side
    317,952,023.20x = 141,855,312,342,792,608
  5. Step 5: Solve for x
    x = 141,855,312,342,792,608/317,952,023.20
  6. Step 6: Final answer
    x = 446,153,199.20

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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.