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Finding the Fourth Proportional to 234,943,339.60, 352,415,009.40 and 200,175,288.40

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Solution

The fourth proportional to 234,943,339.60, 352,415,009.40 and 200,175,288.40 is: 300,262,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,943,339.60 : 352,415,009.40 = 200,175,288.40 : x
  2. Step 2: Convert to fraction form
    234,943,339.60/352,415,009.40 = 200,175,288.40/x
  3. Step 3: Cross multiply
    234,943,339.60x = 352,415,009.40 × 200,175,288.40
  4. Step 4: Simplify right side
    234,943,339.60x = 70,544,776,143,133,712
  5. Step 5: Solve for x
    x = 70,544,776,143,133,712/234,943,339.60
  6. Step 6: Final answer
    x = 300,262,932.60

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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.