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Finding the Fourth Proportional to 589,940,345.20, 824,385,933.20 and 589,940,345.20

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Solution

The fourth proportional to 589,940,345.20, 824,385,933.20 and 589,940,345.20 is: 824,385,933.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,940,345.20 : 824,385,933.20 = 589,940,345.20 : x
  2. Step 2: Convert to fraction form
    589,940,345.20/824,385,933.20 = 589,940,345.20/x
  3. Step 3: Cross multiply
    589,940,345.20x = 824,385,933.20 × 589,940,345.20
  4. Step 4: Simplify right side
    589,940,345.20x = 486,338,522,010,032,192
  5. Step 5: Solve for x
    x = 486,338,522,010,032,192/589,940,345.20
  6. Step 6: Final answer
    x = 824,385,933.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.