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Finding the Fourth Proportional to 338,282,982.80, 472,575,809.20 and 338,282,982.80

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Solution

The fourth proportional to 338,282,982.80, 472,575,809.20 and 338,282,982.80 is: 472,575,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,282,982.80 : 472,575,809.20 = 338,282,982.80 : x
  2. Step 2: Convert to fraction form
    338,282,982.80/472,575,809.20 = 338,282,982.80/x
  3. Step 3: Cross multiply
    338,282,982.80x = 472,575,809.20 × 338,282,982.80
  4. Step 4: Simplify right side
    338,282,982.80x = 159,864,354,335,299,680
  5. Step 5: Solve for x
    x = 159,864,354,335,299,680/338,282,982.80
  6. Step 6: Final answer
    x = 472,575,809.20

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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.