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Finding the Fourth Proportional to 370,617,768,200.78, 555,926,652,301.15 and 370,617,768,200.78

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Solution

The fourth proportional to 370,617,768,200.78, 555,926,652,301.15 and 370,617,768,200.78 is: 555,926,652,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,617,768,200.78 : 555,926,652,301.15 = 370,617,768,200.78 : x
  2. Step 2: Convert to fraction form
    370,617,768,200.78/555,926,652,301.15 = 370,617,768,200.78/x
  3. Step 3: Cross multiply
    370,617,768,200.78x = 555,926,652,301.15 × 370,617,768,200.78
  4. Step 4: Simplify right side
    370,617,768,200.78x = 206,036,295,159,183,239,544,832
  5. Step 5: Solve for x
    x = 206,036,295,159,183,239,544,832/370,617,768,200.78
  6. Step 6: Final answer
    x = 555,926,652,301.15

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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.