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Finding the Fourth Proportional to 259,697,580,147.90, 389,546,370,221.88 and 259,697,580,147.90

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Solution

The fourth proportional to 259,697,580,147.90, 389,546,370,221.88 and 259,697,580,147.90 is: 389,546,370,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697,580,147.90 : 389,546,370,221.88 = 259,697,580,147.90 : x
  2. Step 2: Convert to fraction form
    259,697,580,147.90/389,546,370,221.88 = 259,697,580,147.90/x
  3. Step 3: Cross multiply
    259,697,580,147.90x = 389,546,370,221.88 × 259,697,580,147.90
  4. Step 4: Simplify right side
    259,697,580,147.90x = 101,164,249,702,020,201,578,496
  5. Step 5: Solve for x
    x = 101,164,249,702,020,201,578,496/259,697,580,147.90
  6. Step 6: Final answer
    x = 389,546,370,221.88

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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.