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Finding the Fourth Proportional to 188,000,469.40, 282,000,704.10 and 147,185,800.60

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Solution

The fourth proportional to 188,000,469.40, 282,000,704.10 and 147,185,800.60 is: 220,778,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,000,469.40 : 282,000,704.10 = 147,185,800.60 : x
  2. Step 2: Convert to fraction form
    188,000,469.40/282,000,704.10 = 147,185,800.60/x
  3. Step 3: Cross multiply
    188,000,469.40x = 282,000,704.10 × 147,185,800.60
  4. Step 4: Simplify right side
    188,000,469.40x = 41,506,499,402,722,208
  5. Step 5: Solve for x
    x = 41,506,499,402,722,208/188,000,469.40
  6. Step 6: Final answer
    x = 220,778,700.90

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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.