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Finding the Fourth Proportional to 6,704,046,009.11, 10,056,069,013.67 and 6,704,046,009.11

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Solution

The fourth proportional to 6,704,046,009.11, 10,056,069,013.67 and 6,704,046,009.11 is: 10,056,069,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704,046,009.11 : 10,056,069,013.67 = 6,704,046,009.11 : x
  2. Step 2: Convert to fraction form
    6,704,046,009.11/10,056,069,013.67 = 6,704,046,009.11/x
  3. Step 3: Cross multiply
    6,704,046,009.11x = 10,056,069,013.67 × 6,704,046,009.11
  4. Step 4: Simplify right side
    6,704,046,009.11x = 67,416,349,338,446,536,704
  5. Step 5: Solve for x
    x = 67,416,349,338,446,536,704/6,704,046,009.11
  6. Step 6: Final answer
    x = 10,056,069,013.67

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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.