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Finding the Fourth Proportional to 897,156,799.05, 1,345,735,198.58 and 897,156,799.05

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Solution

The fourth proportional to 897,156,799.05, 1,345,735,198.58 and 897,156,799.05 is: 1,345,735,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,156,799.05 : 1,345,735,198.58 = 897,156,799.05 : x
  2. Step 2: Convert to fraction form
    897,156,799.05/1,345,735,198.58 = 897,156,799.05/x
  3. Step 3: Cross multiply
    897,156,799.05x = 1,345,735,198.58 × 897,156,799.05
  4. Step 4: Simplify right side
    897,156,799.05x = 1,207,335,483,122,462,976
  5. Step 5: Solve for x
    x = 1,207,335,483,122,462,976/897,156,799.05
  6. Step 6: Final answer
    x = 1,345,735,198.58

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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.