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Finding the Fourth Proportional to 839,842,901.70, 1,259,764,352.55 and 257,667,000.90

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Solution

The fourth proportional to 839,842,901.70, 1,259,764,352.55 and 257,667,000.90 is: 386,500,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,842,901.70 : 1,259,764,352.55 = 257,667,000.90 : x
  2. Step 2: Convert to fraction form
    839,842,901.70/1,259,764,352.55 = 257,667,000.90/x
  3. Step 3: Cross multiply
    839,842,901.70x = 1,259,764,352.55 × 257,667,000.90
  4. Step 4: Simplify right side
    839,842,901.70x = 324,599,702,562,288,768
  5. Step 5: Solve for x
    x = 324,599,702,562,288,768/839,842,901.70
  6. Step 6: Final answer
    x = 386,500,501.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.