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Finding the Fourth Proportional to 784,944,360,015.90, 1,177,416,540,023.90 and 784,944,360,015.90

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Solution

The fourth proportional to 784,944,360,015.90, 1,177,416,540,023.90 and 784,944,360,015.90 is: 1,177,416,540,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,944,360,015.90 : 1,177,416,540,023.90 = 784,944,360,015.90 : x
  2. Step 2: Convert to fraction form
    784,944,360,015.90/1,177,416,540,023.90 = 784,944,360,015.90/x
  3. Step 3: Cross multiply
    784,944,360,015.90x = 1,177,416,540,023.90 × 784,944,360,015.90
  4. Step 4: Simplify right side
    784,944,360,015.90x = 924,206,472,481,195,486,609,408
  5. Step 5: Solve for x
    x = 924,206,472,481,195,486,609,408/784,944,360,015.90
  6. Step 6: Final answer
    x = 1,177,416,540,023.90

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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.