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Finding the Fourth Proportional to 897,029,647.80, 1,345,544,471.70 and 897,029,647.80

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Solution

The fourth proportional to 897,029,647.80, 1,345,544,471.70 and 897,029,647.80 is: 1,345,544,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,029,647.80 : 1,345,544,471.70 = 897,029,647.80 : x
  2. Step 2: Convert to fraction form
    897,029,647.80/1,345,544,471.70 = 897,029,647.80/x
  3. Step 3: Cross multiply
    897,029,647.80x = 1,345,544,471.70 × 897,029,647.80
  4. Step 4: Simplify right side
    897,029,647.80x = 1,206,993,283,548,288,000
  5. Step 5: Solve for x
    x = 1,206,993,283,548,288,000/897,029,647.80
  6. Step 6: Final answer
    x = 1,345,544,471.70

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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.