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Finding the Fourth Proportional to 4,470,722,784,002.40, 6,706,084,176,004.40 and 4,470,722,784,002.40

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Solution

The fourth proportional to 4,470,722,784,002.40, 6,706,084,176,004.40 and 4,470,722,784,002.40 is: 6,706,084,176,004.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470,722,784,002.40 : 6,706,084,176,004.40 = 4,470,722,784,002.40 : x
  2. Step 2: Convert to fraction form
    4,470,722,784,002.40/6,706,084,176,004.40 = 4,470,722,784,002.40/x
  3. Step 3: Cross multiply
    4,470,722,784,002.40x = 6,706,084,176,004.40 × 4,470,722,784,002.40
  4. Step 4: Simplify right side
    4,470,722,784,002.40x = 29,981,043,317,100,835,099,377,664
  5. Step 5: Solve for x
    x = 29,981,043,317,100,835,099,377,664/4,470,722,784,002.40
  6. Step 6: Final answer
    x = 6,706,084,176,004.40

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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.