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Finding the Fourth Proportional to 601,591,213,271.55, 902,386,819,907.33 and 601,591,213,271.55

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Solution

The fourth proportional to 601,591,213,271.55, 902,386,819,907.33 and 601,591,213,271.55 is: 902,386,819,907.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,591,213,271.55 : 902,386,819,907.33 = 601,591,213,271.55 : x
  2. Step 2: Convert to fraction form
    601,591,213,271.55/902,386,819,907.33 = 601,591,213,271.55/x
  3. Step 3: Cross multiply
    601,591,213,271.55x = 902,386,819,907.33 × 601,591,213,271.55
  4. Step 4: Simplify right side
    601,591,213,271.55x = 542,867,981,828,306,335,956,992
  5. Step 5: Solve for x
    x = 542,867,981,828,306,335,956,992/601,591,213,271.55
  6. Step 6: Final answer
    x = 902,386,819,907.33

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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.