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Finding the Fourth Proportional to 422,640,823.80, 590,487,829.80 and 422,640,823.80

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Solution

The fourth proportional to 422,640,823.80, 590,487,829.80 and 422,640,823.80 is: 590,487,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,640,823.80 : 590,487,829.80 = 422,640,823.80 : x
  2. Step 2: Convert to fraction form
    422,640,823.80/590,487,829.80 = 422,640,823.80/x
  3. Step 3: Cross multiply
    422,640,823.80x = 590,487,829.80 × 422,640,823.80
  4. Step 4: Simplify right side
    422,640,823.80x = 249,564,262,830,546,176
  5. Step 5: Solve for x
    x = 249,564,262,830,546,176/422,640,823.80
  6. Step 6: Final answer
    x = 590,487,829.80

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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.