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Finding the Fourth Proportional to 83,816,972,150.40, 125,725,458,225.60 and 83,816,972,150.40

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Solution

The fourth proportional to 83,816,972,150.40, 125,725,458,225.60 and 83,816,972,150.40 is: 125,725,458,225.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,816,972,150.40 : 125,725,458,225.60 = 83,816,972,150.40 : x
  2. Step 2: Convert to fraction form
    83,816,972,150.40/125,725,458,225.60 = 83,816,972,150.40/x
  3. Step 3: Cross multiply
    83,816,972,150.40x = 125,725,458,225.60 × 83,816,972,150.40
  4. Step 4: Simplify right side
    83,816,972,150.40x = 10,537,927,230,691,393,667,072
  5. Step 5: Solve for x
    x = 10,537,927,230,691,393,667,072/83,816,972,150.40
  6. Step 6: Final answer
    x = 125,725,458,225.60

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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.