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Finding the Fourth Proportional to 200,267,271.20, 299,953,009.20 and 164,435,463.20

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Solution

The fourth proportional to 200,267,271.20, 299,953,009.20 and 164,435,463.20 is: 246,285,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,267,271.20 : 299,953,009.20 = 164,435,463.20 : x
  2. Step 2: Convert to fraction form
    200,267,271.20/299,953,009.20 = 164,435,463.20/x
  3. Step 3: Cross multiply
    200,267,271.20x = 299,953,009.20 × 164,435,463.20
  4. Step 4: Simplify right side
    200,267,271.20x = 49,322,912,006,035,856
  5. Step 5: Solve for x
    x = 49,322,912,006,035,856/200,267,271.20
  6. Step 6: Final answer
    x = 246,285,435.01

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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.