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Finding the Fourth Proportional to 1,004,029,794,006, 1,506,044,691,009.10 and 1,004,029,794,006

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Solution

The fourth proportional to 1,004,029,794,006, 1,506,044,691,009.10 and 1,004,029,794,006 is: 1,506,044,691,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,029,794,006 : 1,506,044,691,009.10 = 1,004,029,794,006 : x
  2. Step 2: Convert to fraction form
    1,004,029,794,006/1,506,044,691,009.10 = 1,004,029,794,006/x
  3. Step 3: Cross multiply
    1,004,029,794,006x = 1,506,044,691,009.10 × 1,004,029,794,006
  4. Step 4: Simplify right side
    1,004,029,794,006x = 1,512,113,740,877,696,667,222,016
  5. Step 5: Solve for x
    x = 1,512,113,740,877,696,667,222,016/1,004,029,794,006
  6. Step 6: Final answer
    x = 1,506,044,691,009.10

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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.