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Finding the Fourth Proportional to 533,133,099.70, 798,264,758.85 and 533,133,099.70

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Solution

The fourth proportional to 533,133,099.70, 798,264,758.85 and 533,133,099.70 is: 798,264,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,133,099.70 : 798,264,758.85 = 533,133,099.70 : x
  2. Step 2: Convert to fraction form
    533,133,099.70/798,264,758.85 = 533,133,099.70/x
  3. Step 3: Cross multiply
    533,133,099.70x = 798,264,758.85 × 533,133,099.70
  4. Step 4: Simplify right side
    533,133,099.70x = 425,581,365,266,973,504
  5. Step 5: Solve for x
    x = 425,581,365,266,973,504/533,133,099.70
  6. Step 6: Final answer
    x = 798,264,758.85

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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.