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Finding the Fourth Proportional to 1,004,029,794,019, 1,506,044,691,028.60 and 1,004,029,794,019

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Solution

The fourth proportional to 1,004,029,794,019, 1,506,044,691,028.60 and 1,004,029,794,019 is: 1,506,044,691,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,029,794,019 : 1,506,044,691,028.60 = 1,004,029,794,019 : x
  2. Step 2: Convert to fraction form
    1,004,029,794,019/1,506,044,691,028.60 = 1,004,029,794,019/x
  3. Step 3: Cross multiply
    1,004,029,794,019x = 1,506,044,691,028.60 × 1,004,029,794,019
  4. Step 4: Simplify right side
    1,004,029,794,019x = 1,512,113,740,916,853,884,059,648
  5. Step 5: Solve for x
    x = 1,512,113,740,916,853,884,059,648/1,004,029,794,019
  6. Step 6: Final answer
    x = 1,506,044,691,028.60

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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.