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Finding the Fourth Proportional to 523,296,240,003.60, 784,944,360,005.40 and 523,296,240,003.60

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Solution

The fourth proportional to 523,296,240,003.60, 784,944,360,005.40 and 523,296,240,003.60 is: 784,944,360,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,296,240,003.60 : 784,944,360,005.40 = 523,296,240,003.60 : x
  2. Step 2: Convert to fraction form
    523,296,240,003.60/784,944,360,005.40 = 523,296,240,003.60/x
  3. Step 3: Cross multiply
    523,296,240,003.60x = 784,944,360,005.40 × 523,296,240,003.60
  4. Step 4: Simplify right side
    523,296,240,003.60x = 410,758,432,202,857,994,256,384
  5. Step 5: Solve for x
    x = 410,758,432,202,857,994,256,384/523,296,240,003.60
  6. Step 6: Final answer
    x = 784,944,360,005.40

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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.