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Finding the Fourth Proportional to 5,491,825,272,023.50, 8,237,737,908,035.50 and 5,491,825,272,023.50

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Solution

The fourth proportional to 5,491,825,272,023.50, 8,237,737,908,035.50 and 5,491,825,272,023.50 is: 8,237,737,908,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491,825,272,023.50 : 8,237,737,908,035.50 = 5,491,825,272,023.50 : x
  2. Step 2: Convert to fraction form
    5,491,825,272,023.50/8,237,737,908,035.50 = 5,491,825,272,023.50/x
  3. Step 3: Cross multiply
    5,491,825,272,023.50x = 8,237,737,908,035.50 × 5,491,825,272,023.50
  4. Step 4: Simplify right side
    5,491,825,272,023.50x = 45,240,217,227,655,356,128,165,888
  5. Step 5: Solve for x
    x = 45,240,217,227,655,356,128,165,888/5,491,825,272,023.50
  6. Step 6: Final answer
    x = 8,237,737,908,035.50

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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.