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Finding the Fourth Proportional to 86,920,380,018.40, 130,380,570,027.60 and 86,920,380,018.40

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Solution

The fourth proportional to 86,920,380,018.40, 130,380,570,027.60 and 86,920,380,018.40 is: 130,380,570,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,920,380,018.40 : 130,380,570,027.60 = 86,920,380,018.40 : x
  2. Step 2: Convert to fraction form
    86,920,380,018.40/130,380,570,027.60 = 86,920,380,018.40/x
  3. Step 3: Cross multiply
    86,920,380,018.40x = 130,380,570,027.60 × 86,920,380,018.40
  4. Step 4: Simplify right side
    86,920,380,018.40x = 11,332,728,693,814,605,119,488
  5. Step 5: Solve for x
    x = 11,332,728,693,814,605,119,488/86,920,380,018.40
  6. Step 6: Final answer
    x = 130,380,570,027.60

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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.