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Finding the Fourth Proportional to 312,265,655.01, 431,122,478.40 and 200,949,898.68

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Solution

The fourth proportional to 312,265,655.01, 431,122,478.40 and 200,949,898.68 is: 277,436,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,265,655.01 : 431,122,478.40 = 200,949,898.68 : x
  2. Step 2: Convert to fraction form
    312,265,655.01/431,122,478.40 = 200,949,898.68/x
  3. Step 3: Cross multiply
    312,265,655.01x = 431,122,478.40 × 200,949,898.68
  4. Step 4: Simplify right side
    312,265,655.01x = 86,634,018,353,150,480
  5. Step 5: Solve for x
    x = 86,634,018,353,150,480/312,265,655.01
  6. Step 6: Final answer
    x = 277,436,909.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.