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Finding the Fourth Proportional to 6,899,263,562.90, 10,348,895,344.35 and 6,899,263,562.90

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Solution

The fourth proportional to 6,899,263,562.90, 10,348,895,344.35 and 6,899,263,562.90 is: 10,348,895,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899,263,562.90 : 10,348,895,344.35 = 6,899,263,562.90 : x
  2. Step 2: Convert to fraction form
    6,899,263,562.90/10,348,895,344.35 = 6,899,263,562.90/x
  3. Step 3: Cross multiply
    6,899,263,562.90x = 10,348,895,344.35 × 6,899,263,562.90
  4. Step 4: Simplify right side
    6,899,263,562.90x = 71,399,756,565,539,405,824
  5. Step 5: Solve for x
    x = 71,399,756,565,539,405,824/6,899,263,562.90
  6. Step 6: Final answer
    x = 10,348,895,344.35

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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.