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Finding the Fourth Proportional to 484,173,941,817.60, 724,954,843,324.80 and 484,173,941,817.60

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Solution

The fourth proportional to 484,173,941,817.60, 724,954,843,324.80 and 484,173,941,817.60 is: 724,954,843,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,173,941,817.60 : 724,954,843,324.80 = 484,173,941,817.60 : x
  2. Step 2: Convert to fraction form
    484,173,941,817.60/724,954,843,324.80 = 484,173,941,817.60/x
  3. Step 3: Cross multiply
    484,173,941,817.60x = 724,954,843,324.80 × 484,173,941,817.60
  4. Step 4: Simplify right side
    484,173,941,817.60x = 351,004,244,132,329,013,903,360
  5. Step 5: Solve for x
    x = 351,004,244,132,329,013,903,360/484,173,941,817.60
  6. Step 6: Final answer
    x = 724,954,843,324.80

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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.