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Finding the Fourth Proportional to 382,778,428,999.20, 574,167,643,498.80 and 382,778,428,999.20

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Solution

The fourth proportional to 382,778,428,999.20, 574,167,643,498.80 and 382,778,428,999.20 is: 574,167,643,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,778,428,999.20 : 574,167,643,498.80 = 382,778,428,999.20 : x
  2. Step 2: Convert to fraction form
    382,778,428,999.20/574,167,643,498.80 = 382,778,428,999.20/x
  3. Step 3: Cross multiply
    382,778,428,999.20x = 574,167,643,498.80 × 382,778,428,999.20
  4. Step 4: Simplify right side
    382,778,428,999.20x = 219,778,988,560,643,407,216,640
  5. Step 5: Solve for x
    x = 219,778,988,560,643,407,216,640/382,778,428,999.20
  6. Step 6: Final answer
    x = 574,167,643,498.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.