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Finding the Fourth Proportional to 504,019,929,337.75, 756,029,894,006.70 and 504,019,929,337.75

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Solution

The fourth proportional to 504,019,929,337.75, 756,029,894,006.70 and 504,019,929,337.75 is: 756,029,894,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,019,929,337.75 : 756,029,894,006.70 = 504,019,929,337.75 : x
  2. Step 2: Convert to fraction form
    504,019,929,337.75/756,029,894,006.70 = 504,019,929,337.75/x
  3. Step 3: Cross multiply
    504,019,929,337.75x = 756,029,894,006.70 × 504,019,929,337.75
  4. Step 4: Simplify right side
    504,019,929,337.75x = 381,054,133,754,483,510,870,016
  5. Step 5: Solve for x
    x = 381,054,133,754,483,510,870,016/504,019,929,337.75
  6. Step 6: Final answer
    x = 756,029,894,006.70

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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.