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Finding the Fourth Proportional to 1,510,456,223.05, 2,265,684,334.58 and 1,510,456,223.05

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Solution

The fourth proportional to 1,510,456,223.05, 2,265,684,334.58 and 1,510,456,223.05 is: 2,265,684,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,456,223.05 : 2,265,684,334.58 = 1,510,456,223.05 : x
  2. Step 2: Convert to fraction form
    1,510,456,223.05/2,265,684,334.58 = 1,510,456,223.05/x
  3. Step 3: Cross multiply
    1,510,456,223.05x = 2,265,684,334.58 × 1,510,456,223.05
  4. Step 4: Simplify right side
    1,510,456,223.05x = 3,422,217,002,625,706,496
  5. Step 5: Solve for x
    x = 3,422,217,002,625,706,496/1,510,456,223.05
  6. Step 6: Final answer
    x = 2,265,684,334.58

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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.