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Finding the Fourth Proportional to 125,862,336,000.77, 188,793,504,001.17 and 125,862,336,000.77

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Solution

The fourth proportional to 125,862,336,000.77, 188,793,504,001.17 and 125,862,336,000.77 is: 188,793,504,001.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,862,336,000.77 : 188,793,504,001.17 = 125,862,336,000.77 : x
  2. Step 2: Convert to fraction form
    125,862,336,000.77/188,793,504,001.17 = 125,862,336,000.77/x
  3. Step 3: Cross multiply
    125,862,336,000.77x = 188,793,504,001.17 × 125,862,336,000.77
  4. Step 4: Simplify right side
    125,862,336,000.77x = 23,761,991,435,357,974,953,984
  5. Step 5: Solve for x
    x = 23,761,991,435,357,974,953,984/125,862,336,000.77
  6. Step 6: Final answer
    x = 188,793,504,001.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.