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Finding the Fourth Proportional to 412,065,792,017.90, 618,098,688,026.85 and 412,065,792,017.90

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Solution

The fourth proportional to 412,065,792,017.90, 618,098,688,026.85 and 412,065,792,017.90 is: 618,098,688,026.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,065,792,017.90 : 618,098,688,026.85 = 412,065,792,017.90 : x
  2. Step 2: Convert to fraction form
    412,065,792,017.90/618,098,688,026.85 = 412,065,792,017.90/x
  3. Step 3: Cross multiply
    412,065,792,017.90x = 618,098,688,026.85 × 412,065,792,017.90
  4. Step 4: Simplify right side
    412,065,792,017.90x = 254,697,325,427,008,835,944,448
  5. Step 5: Solve for x
    x = 254,697,325,427,008,835,944,448/412,065,792,017.90
  6. Step 6: Final answer
    x = 618,098,688,026.85

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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.