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Finding the Fourth Proportional to 898,150,455.90, 1,347,225,683.85 and 830,965,815.90

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Solution

The fourth proportional to 898,150,455.90, 1,347,225,683.85 and 830,965,815.90 is: 1,246,448,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,150,455.90 : 1,347,225,683.85 = 830,965,815.90 : x
  2. Step 2: Convert to fraction form
    898,150,455.90/1,347,225,683.85 = 830,965,815.90/x
  3. Step 3: Cross multiply
    898,150,455.90x = 1,347,225,683.85 × 830,965,815.90
  4. Step 4: Simplify right side
    898,150,455.90x = 1,119,498,489,581,850,624
  5. Step 5: Solve for x
    x = 1,119,498,489,581,850,624/898,150,455.90
  6. Step 6: Final answer
    x = 1,246,448,723.85

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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.