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Finding the Fourth Proportional to 209,932,292.60, 314,898,438.90 and 133,593,745.40

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Solution

The fourth proportional to 209,932,292.60, 314,898,438.90 and 133,593,745.40 is: 200,390,618.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,932,292.60 : 314,898,438.90 = 133,593,745.40 : x
  2. Step 2: Convert to fraction form
    209,932,292.60/314,898,438.90 = 133,593,745.40/x
  3. Step 3: Cross multiply
    209,932,292.60x = 314,898,438.90 × 133,593,745.40
  4. Step 4: Simplify right side
    209,932,292.60x = 42,068,461,873,264,056
  5. Step 5: Solve for x
    x = 42,068,461,873,264,056/209,932,292.60
  6. Step 6: Final answer
    x = 200,390,618.10

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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.