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Finding the Fourth Proportional to 333,888,804,013.38, 500,833,206,020.05 and 333,888,804,013.38

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Solution

The fourth proportional to 333,888,804,013.38, 500,833,206,020.05 and 333,888,804,013.38 is: 500,833,206,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,888,804,013.38 : 500,833,206,020.05 = 333,888,804,013.38 : x
  2. Step 2: Convert to fraction form
    333,888,804,013.38/500,833,206,020.05 = 333,888,804,013.38/x
  3. Step 3: Cross multiply
    333,888,804,013.38x = 500,833,206,020.05 × 333,888,804,013.38
  4. Step 4: Simplify right side
    333,888,804,013.38x = 167,222,600,168,221,247,012,864
  5. Step 5: Solve for x
    x = 167,222,600,168,221,247,012,864/333,888,804,013.38
  6. Step 6: Final answer
    x = 500,833,206,020.05

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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.