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Finding the Fourth Proportional to 125,864,115,300.90, 188,796,172,951.35 and 125,864,115,300.90

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Solution

The fourth proportional to 125,864,115,300.90, 188,796,172,951.35 and 125,864,115,300.90 is: 188,796,172,951.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,864,115,300.90 : 188,796,172,951.35 = 125,864,115,300.90 : x
  2. Step 2: Convert to fraction form
    125,864,115,300.90/188,796,172,951.35 = 125,864,115,300.90/x
  3. Step 3: Cross multiply
    125,864,115,300.90x = 188,796,172,951.35 × 125,864,115,300.90
  4. Step 4: Simplify right side
    125,864,115,300.90x = 23,762,663,280,717,374,423,040
  5. Step 5: Solve for x
    x = 23,762,663,280,717,374,423,040/125,864,115,300.90
  6. Step 6: Final answer
    x = 188,796,172,951.35

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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.