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Finding the Fourth Proportional to 966,013,459.20, 1,449,020,188.80 and 966,013,459.20

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Solution

The fourth proportional to 966,013,459.20, 1,449,020,188.80 and 966,013,459.20 is: 1,449,020,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,013,459.20 : 1,449,020,188.80 = 966,013,459.20 : x
  2. Step 2: Convert to fraction form
    966,013,459.20/1,449,020,188.80 = 966,013,459.20/x
  3. Step 3: Cross multiply
    966,013,459.20x = 1,449,020,188.80 × 966,013,459.20
  4. Step 4: Simplify right side
    966,013,459.20x = 1,399,773,005,033,325,056
  5. Step 5: Solve for x
    x = 1,399,773,005,033,325,056/966,013,459.20
  6. Step 6: Final answer
    x = 1,449,020,188.80

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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.