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Finding the Fourth Proportional to 978,792,601.60, 1,468,188,902.40 and 564,977,209.60

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Solution

The fourth proportional to 978,792,601.60, 1,468,188,902.40 and 564,977,209.60 is: 847,465,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,792,601.60 : 1,468,188,902.40 = 564,977,209.60 : x
  2. Step 2: Convert to fraction form
    978,792,601.60/1,468,188,902.40 = 564,977,209.60/x
  3. Step 3: Cross multiply
    978,792,601.60x = 1,468,188,902.40 × 564,977,209.60
  4. Step 4: Simplify right side
    978,792,601.60x = 829,493,269,243,638,784
  5. Step 5: Solve for x
    x = 829,493,269,243,638,784/978,792,601.60
  6. Step 6: Final answer
    x = 847,465,814.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.