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Finding the Fourth Proportional to 20,867,991,730.65, 31,301,987,595.98 and 20,867,991,730.65

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Solution

The fourth proportional to 20,867,991,730.65, 31,301,987,595.98 and 20,867,991,730.65 is: 31,301,987,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,867,991,730.65 : 31,301,987,595.98 = 20,867,991,730.65 : x
  2. Step 2: Convert to fraction form
    20,867,991,730.65/31,301,987,595.98 = 20,867,991,730.65/x
  3. Step 3: Cross multiply
    20,867,991,730.65x = 31,301,987,595.98 × 20,867,991,730.65
  4. Step 4: Simplify right side
    20,867,991,730.65x = 653,209,618,305,715,142,656
  5. Step 5: Solve for x
    x = 653,209,618,305,715,142,656/20,867,991,730.65
  6. Step 6: Final answer
    x = 31,301,987,595.98

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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.