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Finding the Fourth Proportional to 727,667,353,669.65, 1,091,501,030,504.50 and 727,667,353,669.65

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Solution

The fourth proportional to 727,667,353,669.65, 1,091,501,030,504.50 and 727,667,353,669.65 is: 1,091,501,030,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,667,353,669.65 : 1,091,501,030,504.50 = 727,667,353,669.65 : x
  2. Step 2: Convert to fraction form
    727,667,353,669.65/1,091,501,030,504.50 = 727,667,353,669.65/x
  3. Step 3: Cross multiply
    727,667,353,669.65x = 1,091,501,030,504.50 × 727,667,353,669.65
  4. Step 4: Simplify right side
    727,667,353,669.65x = 794,249,666,394,905,450,119,168
  5. Step 5: Solve for x
    x = 794,249,666,394,905,450,119,168/727,667,353,669.65
  6. Step 6: Final answer
    x = 1,091,501,030,504.50

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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.