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Finding the Fourth Proportional to 667,346,944.05, 1,001,020,416.08 and 667,346,944.05

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Solution

The fourth proportional to 667,346,944.05, 1,001,020,416.08 and 667,346,944.05 is: 1,001,020,416.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,346,944.05 : 1,001,020,416.08 = 667,346,944.05 : x
  2. Step 2: Convert to fraction form
    667,346,944.05/1,001,020,416.08 = 667,346,944.05/x
  3. Step 3: Cross multiply
    667,346,944.05x = 1,001,020,416.08 × 667,346,944.05
  4. Step 4: Simplify right side
    667,346,944.05x = 668,027,915,599,310,720
  5. Step 5: Solve for x
    x = 668,027,915,599,310,720/667,346,944.05
  6. Step 6: Final answer
    x = 1,001,020,416.08

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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.