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Finding the Fourth Proportional to 681,572,267.70, 1,022,358,401.55 and 681,572,267.70

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Solution

The fourth proportional to 681,572,267.70, 1,022,358,401.55 and 681,572,267.70 is: 1,022,358,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,572,267.70 : 1,022,358,401.55 = 681,572,267.70 : x
  2. Step 2: Convert to fraction form
    681,572,267.70/1,022,358,401.55 = 681,572,267.70/x
  3. Step 3: Cross multiply
    681,572,267.70x = 1,022,358,401.55 × 681,572,267.70
  4. Step 4: Simplify right side
    681,572,267.70x = 696,811,134,146,580,736
  5. Step 5: Solve for x
    x = 696,811,134,146,580,736/681,572,267.70
  6. Step 6: Final answer
    x = 1,022,358,401.55

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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.