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Finding the Fourth Proportional to 11,133,729,667.30, 16,700,594,500.95 and 11,133,729,667.30

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Solution

The fourth proportional to 11,133,729,667.30, 16,700,594,500.95 and 11,133,729,667.30 is: 16,700,594,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133,729,667.30 : 16,700,594,500.95 = 11,133,729,667.30 : x
  2. Step 2: Convert to fraction form
    11,133,729,667.30/16,700,594,500.95 = 11,133,729,667.30/x
  3. Step 3: Cross multiply
    11,133,729,667.30x = 16,700,594,500.95 × 11,133,729,667.30
  4. Step 4: Simplify right side
    11,133,729,667.30x = 185,939,904,456,774,254,592
  5. Step 5: Solve for x
    x = 185,939,904,456,774,254,592/11,133,729,667.30
  6. Step 6: Final answer
    x = 16,700,594,500.95

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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.