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Finding the Fourth Proportional to 6,593,058,145,266.30, 9,889,587,217,899.40 and 6,593,058,145,266.30

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Solution

The fourth proportional to 6,593,058,145,266.30, 9,889,587,217,899.40 and 6,593,058,145,266.30 is: 9,889,587,217,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593,058,145,266.30 : 9,889,587,217,899.40 = 6,593,058,145,266.30 : x
  2. Step 2: Convert to fraction form
    6,593,058,145,266.30/9,889,587,217,899.40 = 6,593,058,145,266.30/x
  3. Step 3: Cross multiply
    6,593,058,145,266.30x = 9,889,587,217,899.40 × 6,593,058,145,266.30
  4. Step 4: Simplify right side
    6,593,058,145,266.30x = 65,202,623,560,293,130,010,886,144
  5. Step 5: Solve for x
    x = 65,202,623,560,293,130,010,886,144/6,593,058,145,266.30
  6. Step 6: Final answer
    x = 9,889,587,217,899.40

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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.