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Finding the Fourth Proportional to 412,065,792,016.90, 618,098,688,025.35 and 412,065,792,016.90

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Solution

The fourth proportional to 412,065,792,016.90, 618,098,688,025.35 and 412,065,792,016.90 is: 618,098,688,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,065,792,016.90 : 618,098,688,025.35 = 412,065,792,016.90 : x
  2. Step 2: Convert to fraction form
    412,065,792,016.90/618,098,688,025.35 = 412,065,792,016.90/x
  3. Step 3: Cross multiply
    412,065,792,016.90x = 618,098,688,025.35 × 412,065,792,016.90
  4. Step 4: Simplify right side
    412,065,792,016.90x = 254,697,325,425,772,623,560,704
  5. Step 5: Solve for x
    x = 254,697,325,425,772,623,560,704/412,065,792,016.90
  6. Step 6: Final answer
    x = 618,098,688,025.35

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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.