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Finding the Fourth Proportional to 57,605,788,597.65, 86,408,682,896.48 and 57,605,788,597.65

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Solution

The fourth proportional to 57,605,788,597.65, 86,408,682,896.48 and 57,605,788,597.65 is: 86,408,682,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,605,788,597.65 : 86,408,682,896.48 = 57,605,788,597.65 : x
  2. Step 2: Convert to fraction form
    57,605,788,597.65/86,408,682,896.48 = 57,605,788,597.65/x
  3. Step 3: Cross multiply
    57,605,788,597.65x = 86,408,682,896.48 × 57,605,788,597.65
  4. Step 4: Simplify right side
    57,605,788,597.65x = 4,977,640,319,935,714,426,880
  5. Step 5: Solve for x
    x = 4,977,640,319,935,714,426,880/57,605,788,597.65
  6. Step 6: Final answer
    x = 86,408,682,896.48

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Double scale
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1.5x scale

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.