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Finding the Fourth Proportional to 125,500,239,152.10, 188,250,358,728.15 and 125,500,239,152.10

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Solution

The fourth proportional to 125,500,239,152.10, 188,250,358,728.15 and 125,500,239,152.10 is: 188,250,358,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,500,239,152.10 : 188,250,358,728.15 = 125,500,239,152.10 : x
  2. Step 2: Convert to fraction form
    125,500,239,152.10/188,250,358,728.15 = 125,500,239,152.10/x
  3. Step 3: Cross multiply
    125,500,239,152.10x = 188,250,358,728.15 × 125,500,239,152.10
  4. Step 4: Simplify right side
    125,500,239,152.10x = 23,625,465,040,851,441,811,456
  5. Step 5: Solve for x
    x = 23,625,465,040,851,441,811,456/125,500,239,152.10
  6. Step 6: Final answer
    x = 188,250,358,728.15

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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.