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Finding the Fourth Proportional to 8,734,677,586.40, 13,102,016,379.62 and 8,734,677,586.40

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Solution

The fourth proportional to 8,734,677,586.40, 13,102,016,379.62 and 8,734,677,586.40 is: 13,102,016,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734,677,586.40 : 13,102,016,379.62 = 8,734,677,586.40 : x
  2. Step 2: Convert to fraction form
    8,734,677,586.40/13,102,016,379.62 = 8,734,677,586.40/x
  3. Step 3: Cross multiply
    8,734,677,586.40x = 13,102,016,379.62 × 8,734,677,586.40
  4. Step 4: Simplify right side
    8,734,677,586.40x = 114,441,888,807,712,489,472
  5. Step 5: Solve for x
    x = 114,441,888,807,712,489,472/8,734,677,586.40
  6. Step 6: Final answer
    x = 13,102,016,379.62

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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.