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Finding the Fourth Proportional to 82,130,565,563.65, 123,195,848,345.48 and 82,130,565,563.65

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Solution

The fourth proportional to 82,130,565,563.65, 123,195,848,345.48 and 82,130,565,563.65 is: 123,195,848,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,130,565,563.65 : 123,195,848,345.48 = 82,130,565,563.65 : x
  2. Step 2: Convert to fraction form
    82,130,565,563.65/123,195,848,345.48 = 82,130,565,563.65/x
  3. Step 3: Cross multiply
    82,130,565,563.65x = 123,195,848,345.48 × 82,130,565,563.65
  4. Step 4: Simplify right side
    82,130,565,563.65x = 10,118,144,699,707,925,987,328
  5. Step 5: Solve for x
    x = 10,118,144,699,707,925,987,328/82,130,565,563.65
  6. Step 6: Final answer
    x = 123,195,848,345.48

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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.