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Finding the Fourth Proportional to 667,764,019.80, 1,001,646,029.70 and 593,787,432.60

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Solution

The fourth proportional to 667,764,019.80, 1,001,646,029.70 and 593,787,432.60 is: 890,681,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,764,019.80 : 1,001,646,029.70 = 593,787,432.60 : x
  2. Step 2: Convert to fraction form
    667,764,019.80/1,001,646,029.70 = 593,787,432.60/x
  3. Step 3: Cross multiply
    667,764,019.80x = 1,001,646,029.70 × 593,787,432.60
  4. Step 4: Simplify right side
    667,764,019.80x = 594,764,824,349,546,368
  5. Step 5: Solve for x
    x = 594,764,824,349,546,368/667,764,019.80
  6. Step 6: Final answer
    x = 890,681,148.90

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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.