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Finding the Fourth Proportional to 125,500,238,999.85, 188,250,358,499.77 and 125,500,238,999.85

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Solution

The fourth proportional to 125,500,238,999.85, 188,250,358,499.77 and 125,500,238,999.85 is: 188,250,358,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,500,238,999.85 : 188,250,358,499.77 = 125,500,238,999.85 : x
  2. Step 2: Convert to fraction form
    125,500,238,999.85/188,250,358,499.77 = 125,500,238,999.85/x
  3. Step 3: Cross multiply
    125,500,238,999.85x = 188,250,358,499.77 × 125,500,238,999.85
  4. Step 4: Simplify right side
    125,500,238,999.85x = 23,625,464,983,528,576,909,312
  5. Step 5: Solve for x
    x = 23,625,464,983,528,576,909,312/125,500,238,999.85
  6. Step 6: Final answer
    x = 188,250,358,499.77

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1.5x scale

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.