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Finding the Fourth Proportional to 897,029,584.05, 1,345,544,376.08 and 897,029,584.05

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Solution

The fourth proportional to 897,029,584.05, 1,345,544,376.08 and 897,029,584.05 is: 1,345,544,376.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,029,584.05 : 1,345,544,376.08 = 897,029,584.05 : x
  2. Step 2: Convert to fraction form
    897,029,584.05/1,345,544,376.08 = 897,029,584.05/x
  3. Step 3: Cross multiply
    897,029,584.05x = 1,345,544,376.08 × 897,029,584.05
  4. Step 4: Simplify right side
    897,029,584.05x = 1,206,993,111,995,858,944
  5. Step 5: Solve for x
    x = 1,206,993,111,995,858,944/897,029,584.05
  6. Step 6: Final answer
    x = 1,345,544,376.08

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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.