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Finding the Fourth Proportional to 605,798,538.40, 908,697,807.60 and 196,896,023.20

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Solution

The fourth proportional to 605,798,538.40, 908,697,807.60 and 196,896,023.20 is: 295,344,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,798,538.40 : 908,697,807.60 = 196,896,023.20 : x
  2. Step 2: Convert to fraction form
    605,798,538.40/908,697,807.60 = 196,896,023.20/x
  3. Step 3: Cross multiply
    605,798,538.40x = 908,697,807.60 × 196,896,023.20
  4. Step 4: Simplify right side
    605,798,538.40x = 178,918,984,606,998,720
  5. Step 5: Solve for x
    x = 178,918,984,606,998,720/605,798,538.40
  6. Step 6: Final answer
    x = 295,344,034.80

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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.