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Finding the Fourth Proportional to 538,099,409.40, 805,873,655.70 and 538,099,409.40

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Solution

The fourth proportional to 538,099,409.40, 805,873,655.70 and 538,099,409.40 is: 805,873,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,099,409.40 : 805,873,655.70 = 538,099,409.40 : x
  2. Step 2: Convert to fraction form
    538,099,409.40/805,873,655.70 = 538,099,409.40/x
  3. Step 3: Cross multiply
    538,099,409.40x = 805,873,655.70 × 538,099,409.40
  4. Step 4: Simplify right side
    538,099,409.40x = 433,640,138,183,188,928
  5. Step 5: Solve for x
    x = 433,640,138,183,188,928/538,099,409.40
  6. Step 6: Final answer
    x = 805,873,655.70

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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.