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Finding the Fourth Proportional to 613,419,365,672.70, 920,129,048,509.05 and 613,419,365,672.70

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Solution

The fourth proportional to 613,419,365,672.70, 920,129,048,509.05 and 613,419,365,672.70 is: 920,129,048,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,419,365,672.70 : 920,129,048,509.05 = 613,419,365,672.70 : x
  2. Step 2: Convert to fraction form
    613,419,365,672.70/920,129,048,509.05 = 613,419,365,672.70/x
  3. Step 3: Cross multiply
    613,419,365,672.70x = 920,129,048,509.05 × 613,419,365,672.70
  4. Step 4: Simplify right side
    613,419,365,672.70x = 564,424,977,273,446,413,107,200
  5. Step 5: Solve for x
    x = 564,424,977,273,446,413,107,200/613,419,365,672.70
  6. Step 6: Final answer
    x = 920,129,048,509.05

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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.