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Finding the Fourth Proportional to 81,452,208,539.45, 122,178,312,809.17 and 81,452,208,539.45

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Solution

The fourth proportional to 81,452,208,539.45, 122,178,312,809.17 and 81,452,208,539.45 is: 122,178,312,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,452,208,539.45 : 122,178,312,809.17 = 81,452,208,539.45 : x
  2. Step 2: Convert to fraction form
    81,452,208,539.45/122,178,312,809.17 = 81,452,208,539.45/x
  3. Step 3: Cross multiply
    81,452,208,539.45x = 122,178,312,809.17 × 81,452,208,539.45
  4. Step 4: Simplify right side
    81,452,208,539.45x = 9,951,693,413,930,669,965,312
  5. Step 5: Solve for x
    x = 9,951,693,413,930,669,965,312/81,452,208,539.45
  6. Step 6: Final answer
    x = 122,178,312,809.17

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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.