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Finding the Fourth Proportional to 539,462,693.60, 809,194,040.40 and 539,462,693.60

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Solution

The fourth proportional to 539,462,693.60, 809,194,040.40 and 539,462,693.60 is: 809,194,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,462,693.60 : 809,194,040.40 = 539,462,693.60 : x
  2. Step 2: Convert to fraction form
    539,462,693.60/809,194,040.40 = 539,462,693.60/x
  3. Step 3: Cross multiply
    539,462,693.60x = 809,194,040.40 × 539,462,693.60
  4. Step 4: Simplify right side
    539,462,693.60x = 436,529,996,679,251,200
  5. Step 5: Solve for x
    x = 436,529,996,679,251,200/539,462,693.60
  6. Step 6: Final answer
    x = 809,194,040.40

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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.