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Finding the Fourth Proportional to 81,395,778,870.30, 122,093,668,305.45 and 81,395,778,870.30

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Solution

The fourth proportional to 81,395,778,870.30, 122,093,668,305.45 and 81,395,778,870.30 is: 122,093,668,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,395,778,870.30 : 122,093,668,305.45 = 81,395,778,870.30 : x
  2. Step 2: Convert to fraction form
    81,395,778,870.30/122,093,668,305.45 = 81,395,778,870.30/x
  3. Step 3: Cross multiply
    81,395,778,870.30x = 122,093,668,305.45 × 81,395,778,870.30
  4. Step 4: Simplify right side
    81,395,778,870.30x = 9,937,909,226,854,164,725,760
  5. Step 5: Solve for x
    x = 9,937,909,226,854,164,725,760/81,395,778,870.30
  6. Step 6: Final answer
    x = 122,093,668,305.45

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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.