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Finding the Fourth Proportional to 594,505,340,793.45, 891,758,011,190.17 and 594,505,340,793.45

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Solution

The fourth proportional to 594,505,340,793.45, 891,758,011,190.17 and 594,505,340,793.45 is: 891,758,011,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,505,340,793.45 : 891,758,011,190.17 = 594,505,340,793.45 : x
  2. Step 2: Convert to fraction form
    594,505,340,793.45/891,758,011,190.17 = 594,505,340,793.45/x
  3. Step 3: Cross multiply
    594,505,340,793.45x = 891,758,011,190.17 × 594,505,340,793.45
  4. Step 4: Simplify right side
    594,505,340,793.45x = 530,154,900,347,901,221,797,888
  5. Step 5: Solve for x
    x = 530,154,900,347,901,221,797,888/594,505,340,793.45
  6. Step 6: Final answer
    x = 891,758,011,190.17

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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.