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Finding the Fourth Proportional to 5,510,268,215.30, 8,265,402,322.95 and 5,510,268,215.30

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Solution

The fourth proportional to 5,510,268,215.30, 8,265,402,322.95 and 5,510,268,215.30 is: 8,265,402,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,510,268,215.30 : 8,265,402,322.95 = 5,510,268,215.30 : x
  2. Step 2: Convert to fraction form
    5,510,268,215.30/8,265,402,322.95 = 5,510,268,215.30/x
  3. Step 3: Cross multiply
    5,510,268,215.30x = 8,265,402,322.95 × 5,510,268,215.30
  4. Step 4: Simplify right side
    5,510,268,215.30x = 45,544,583,706,818,174,976
  5. Step 5: Solve for x
    x = 45,544,583,706,818,174,976/5,510,268,215.30
  6. Step 6: Final answer
    x = 8,265,402,322.95

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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.