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Finding the Fourth Proportional to 539,643,023.70, 809,464,535.55 and 539,643,023.70

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Solution

The fourth proportional to 539,643,023.70, 809,464,535.55 and 539,643,023.70 is: 809,464,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,643,023.70 : 809,464,535.55 = 539,643,023.70 : x
  2. Step 2: Convert to fraction form
    539,643,023.70/809,464,535.55 = 539,643,023.70/x
  3. Step 3: Cross multiply
    539,643,023.70x = 809,464,535.55 × 539,643,023.70
  4. Step 4: Simplify right side
    539,643,023.70x = 436,821,889,542,118,144
  5. Step 5: Solve for x
    x = 436,821,889,542,118,144/539,643,023.70
  6. Step 6: Final answer
    x = 809,464,535.55

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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.