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Finding the Fourth Proportional to 2,797,364,691,312, 4,196,047,036,967.70 and 2,797,364,691,312

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Solution

The fourth proportional to 2,797,364,691,312, 4,196,047,036,967.70 and 2,797,364,691,312 is: 4,196,047,036,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797,364,691,312 : 4,196,047,036,967.70 = 2,797,364,691,312 : x
  2. Step 2: Convert to fraction form
    2,797,364,691,312/4,196,047,036,967.70 = 2,797,364,691,312/x
  3. Step 3: Cross multiply
    2,797,364,691,312x = 4,196,047,036,967.70 × 2,797,364,691,312
  4. Step 4: Simplify right side
    2,797,364,691,312x = 11,737,873,824,297,782,823,878,656
  5. Step 5: Solve for x
    x = 11,737,873,824,297,782,823,878,656/2,797,364,691,312
  6. Step 6: Final answer
    x = 4,196,047,036,967.70

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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.