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Finding the Fourth Proportional to 349,073,313,756.40, 523,609,970,634.60 and 349,073,313,756.40

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Solution

The fourth proportional to 349,073,313,756.40, 523,609,970,634.60 and 349,073,313,756.40 is: 523,609,970,634.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,073,313,756.40 : 523,609,970,634.60 = 349,073,313,756.40 : x
  2. Step 2: Convert to fraction form
    349,073,313,756.40/523,609,970,634.60 = 349,073,313,756.40/x
  3. Step 3: Cross multiply
    349,073,313,756.40x = 523,609,970,634.60 × 349,073,313,756.40
  4. Step 4: Simplify right side
    349,073,313,756.40x = 182,778,267,565,311,133,745,152
  5. Step 5: Solve for x
    x = 182,778,267,565,311,133,745,152/349,073,313,756.40
  6. Step 6: Final answer
    x = 523,609,970,634.60

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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.