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Finding the Fourth Proportional to 259,697,581,347.40, 389,546,372,021.10 and 259,697,581,347.40

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Solution

The fourth proportional to 259,697,581,347.40, 389,546,372,021.10 and 259,697,581,347.40 is: 389,546,372,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697,581,347.40 : 389,546,372,021.10 = 259,697,581,347.40 : x
  2. Step 2: Convert to fraction form
    259,697,581,347.40/389,546,372,021.10 = 259,697,581,347.40/x
  3. Step 3: Cross multiply
    259,697,581,347.40x = 389,546,372,021.10 × 259,697,581,347.40
  4. Step 4: Simplify right side
    259,697,581,347.40x = 101,164,250,636,534,151,118,848
  5. Step 5: Solve for x
    x = 101,164,250,636,534,151,118,848/259,697,581,347.40
  6. Step 6: Final answer
    x = 389,546,372,021.10

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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.