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Finding the Fourth Proportional to 8,734,677,603.40, 13,102,016,405.14 and 8,734,677,603.40

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Solution

The fourth proportional to 8,734,677,603.40, 13,102,016,405.14 and 8,734,677,603.40 is: 13,102,016,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734,677,603.40 : 13,102,016,405.14 = 8,734,677,603.40 : x
  2. Step 2: Convert to fraction form
    8,734,677,603.40/13,102,016,405.14 = 8,734,677,603.40/x
  3. Step 3: Cross multiply
    8,734,677,603.40x = 13,102,016,405.14 × 8,734,677,603.40
  4. Step 4: Simplify right side
    8,734,677,603.40x = 114,441,889,253,355,732,992
  5. Step 5: Solve for x
    x = 114,441,889,253,355,732,992/8,734,677,603.40
  6. Step 6: Final answer
    x = 13,102,016,405.14

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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.