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Finding the Fourth Proportional to 61,380,288,014.40, 86,019,474,513.60 and 61,380,288,014.40

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Solution

The fourth proportional to 61,380,288,014.40, 86,019,474,513.60 and 61,380,288,014.40 is: 86,019,474,513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,380,288,014.40 : 86,019,474,513.60 = 61,380,288,014.40 : x
  2. Step 2: Convert to fraction form
    61,380,288,014.40/86,019,474,513.60 = 61,380,288,014.40/x
  3. Step 3: Cross multiply
    61,380,288,014.40x = 86,019,474,513.60 × 61,380,288,014.40
  4. Step 4: Simplify right side
    61,380,288,014.40x = 5,279,900,120,492,108,939,264
  5. Step 5: Solve for x
    x = 5,279,900,120,492,108,939,264/61,380,288,014.40
  6. Step 6: Final answer
    x = 86,019,474,513.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.