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Finding the Fourth Proportional to 232,736,295,401.67, 349,104,443,102.51 and 232,736,295,401.67

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Solution

The fourth proportional to 232,736,295,401.67, 349,104,443,102.51 and 232,736,295,401.67 is: 349,104,443,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,736,295,401.67 : 349,104,443,102.51 = 232,736,295,401.67 : x
  2. Step 2: Convert to fraction form
    232,736,295,401.67/349,104,443,102.51 = 232,736,295,401.67/x
  3. Step 3: Cross multiply
    232,736,295,401.67x = 349,104,443,102.51 × 232,736,295,401.67
  4. Step 4: Simplify right side
    232,736,295,401.67x = 81,249,274,795,941,269,864,448
  5. Step 5: Solve for x
    x = 81,249,274,795,941,269,864,448/232,736,295,401.67
  6. Step 6: Final answer
    x = 349,104,443,102.51

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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.