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Finding the Fourth Proportional to 81,768,882,187.20, 122,653,323,280.80 and 81,768,882,187.20

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Solution

The fourth proportional to 81,768,882,187.20, 122,653,323,280.80 and 81,768,882,187.20 is: 122,653,323,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,768,882,187.20 : 122,653,323,280.80 = 81,768,882,187.20 : x
  2. Step 2: Convert to fraction form
    81,768,882,187.20/122,653,323,280.80 = 81,768,882,187.20/x
  3. Step 3: Cross multiply
    81,768,882,187.20x = 122,653,323,280.80 × 81,768,882,187.20
  4. Step 4: Simplify right side
    81,768,882,187.20x = 10,029,225,141,216,290,537,472
  5. Step 5: Solve for x
    x = 10,029,225,141,216,290,537,472/81,768,882,187.20
  6. Step 6: Final answer
    x = 122,653,323,280.80

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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.