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Finding the Fourth Proportional to 365,300,698.52, 547,892,719.12 and 106,455,372.00

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Solution

The fourth proportional to 365,300,698.52, 547,892,719.12 and 106,455,372.00 is: 159,666,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,300,698.52 : 547,892,719.12 = 106,455,372.00 : x
  2. Step 2: Convert to fraction form
    365,300,698.52/547,892,719.12 = 106,455,372.00/x
  3. Step 3: Cross multiply
    365,300,698.52x = 547,892,719.12 × 106,455,372.00
  4. Step 4: Simplify right side
    365,300,698.52x = 58,326,123,230,865,344
  5. Step 5: Solve for x
    x = 58,326,123,230,865,344/365,300,698.52
  6. Step 6: Final answer
    x = 159,666,059.95

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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.