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Finding the Fourth Proportional to 133,765,269.40, 200,647,904.10 and 76,369,641.40

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Solution

The fourth proportional to 133,765,269.40, 200,647,904.10 and 76,369,641.40 is: 114,554,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,765,269.40 : 200,647,904.10 = 76,369,641.40 : x
  2. Step 2: Convert to fraction form
    133,765,269.40/200,647,904.10 = 76,369,641.40/x
  3. Step 3: Cross multiply
    133,765,269.40x = 200,647,904.10 × 76,369,641.40
  4. Step 4: Simplify right side
    133,765,269.40x = 15,323,408,483,778,590
  5. Step 5: Solve for x
    x = 15,323,408,483,778,590/133,765,269.40
  6. Step 6: Final answer
    x = 114,554,462.10

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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.