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Finding the Fourth Proportional to 374,276,766,266.40, 561,415,149,399.60 and 374,276,766,266.40

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Solution

The fourth proportional to 374,276,766,266.40, 561,415,149,399.60 and 374,276,766,266.40 is: 561,415,149,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,276,766,266.40 : 561,415,149,399.60 = 374,276,766,266.40 : x
  2. Step 2: Convert to fraction form
    374,276,766,266.40/561,415,149,399.60 = 374,276,766,266.40/x
  3. Step 3: Cross multiply
    374,276,766,266.40x = 561,415,149,399.60 × 374,276,766,266.40
  4. Step 4: Simplify right side
    374,276,766,266.40x = 210,124,646,650,250,119,872,512
  5. Step 5: Solve for x
    x = 210,124,646,650,250,119,872,512/374,276,766,266.40
  6. Step 6: Final answer
    x = 561,415,149,399.60

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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.