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Finding the Fourth Proportional to 966,942,821.70, 1,450,414,232.55 and 966,942,821.70

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Solution

The fourth proportional to 966,942,821.70, 1,450,414,232.55 and 966,942,821.70 is: 1,450,414,232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,942,821.70 : 1,450,414,232.55 = 966,942,821.70 : x
  2. Step 2: Convert to fraction form
    966,942,821.70/1,450,414,232.55 = 966,942,821.70/x
  3. Step 3: Cross multiply
    966,942,821.70x = 1,450,414,232.55 × 966,942,821.70
  4. Step 4: Simplify right side
    966,942,821.70x = 1,402,467,630,655,737,088
  5. Step 5: Solve for x
    x = 1,402,467,630,655,737,088/966,942,821.70
  6. Step 6: Final answer
    x = 1,450,414,232.55

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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.