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Finding the Fourth Proportional to 81,456,065.40, 122,184,098.10 and 81,456,065.40

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Solution

The fourth proportional to 81,456,065.40, 122,184,098.10 and 81,456,065.40 is: 122,184,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,456,065.40 : 122,184,098.10 = 81,456,065.40 : x
  2. Step 2: Convert to fraction form
    81,456,065.40/122,184,098.10 = 81,456,065.40/x
  3. Step 3: Cross multiply
    81,456,065.40x = 122,184,098.10 × 81,456,065.40
  4. Step 4: Simplify right side
    81,456,065.40x = 9,952,635,885,673,616
  5. Step 5: Solve for x
    x = 9,952,635,885,673,616/81,456,065.40
  6. Step 6: Final answer
    x = 122,184,098.10

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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.