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Finding the Fourth Proportional to 547,329,636,000.75, 820,994,454,001.15 and 547,329,636,000.75

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Solution

The fourth proportional to 547,329,636,000.75, 820,994,454,001.15 and 547,329,636,000.75 is: 820,994,454,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,329,636,000.75 : 820,994,454,001.15 = 547,329,636,000.75 : x
  2. Step 2: Convert to fraction form
    547,329,636,000.75/820,994,454,001.15 = 547,329,636,000.75/x
  3. Step 3: Cross multiply
    547,329,636,000.75x = 820,994,454,001.15 × 547,329,636,000.75
  4. Step 4: Simplify right side
    547,329,636,000.75x = 449,354,595,667,083,914,117,120
  5. Step 5: Solve for x
    x = 449,354,595,667,083,914,117,120/547,329,636,000.75
  6. Step 6: Final answer
    x = 820,994,454,001.15

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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.