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Finding the Fourth Proportional to 561,415,150,851.60, 842,122,726,277.40 and 561,415,150,851.60

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Solution

The fourth proportional to 561,415,150,851.60, 842,122,726,277.40 and 561,415,150,851.60 is: 842,122,726,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,415,150,851.60 : 842,122,726,277.40 = 561,415,150,851.60 : x
  2. Step 2: Convert to fraction form
    561,415,150,851.60/842,122,726,277.40 = 561,415,150,851.60/x
  3. Step 3: Cross multiply
    561,415,150,851.60x = 842,122,726,277.40 × 561,415,150,851.60
  4. Step 4: Simplify right side
    561,415,150,851.60x = 472,780,457,408,587,183,947,776
  5. Step 5: Solve for x
    x = 472,780,457,408,587,183,947,776/561,415,150,851.60
  6. Step 6: Final answer
    x = 842,122,726,277.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.