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Finding the Fourth Proportional to 204,156,905,907.15, 306,235,358,860.72 and 204,156,905,907.15

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Solution

The fourth proportional to 204,156,905,907.15, 306,235,358,860.72 and 204,156,905,907.15 is: 306,235,358,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,156,905,907.15 : 306,235,358,860.72 = 204,156,905,907.15 : x
  2. Step 2: Convert to fraction form
    204,156,905,907.15/306,235,358,860.72 = 204,156,905,907.15/x
  3. Step 3: Cross multiply
    204,156,905,907.15x = 306,235,358,860.72 × 204,156,905,907.15
  4. Step 4: Simplify right side
    204,156,905,907.15x = 62,520,063,344,370,323,030,016
  5. Step 5: Solve for x
    x = 62,520,063,344,370,323,030,016/204,156,905,907.15
  6. Step 6: Final answer
    x = 306,235,358,860.72

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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.