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Finding the Fourth Proportional to 6,812,785,875.70, 10,219,178,813.55 and 6,812,785,875.70

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Solution

The fourth proportional to 6,812,785,875.70, 10,219,178,813.55 and 6,812,785,875.70 is: 10,219,178,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812,785,875.70 : 10,219,178,813.55 = 6,812,785,875.70 : x
  2. Step 2: Convert to fraction form
    6,812,785,875.70/10,219,178,813.55 = 6,812,785,875.70/x
  3. Step 3: Cross multiply
    6,812,785,875.70x = 10,219,178,813.55 × 6,812,785,875.70
  4. Step 4: Simplify right side
    6,812,785,875.70x = 69,621,077,082,206,117,888
  5. Step 5: Solve for x
    x = 69,621,077,082,206,117,888/6,812,785,875.70
  6. Step 6: Final answer
    x = 10,219,178,813.55

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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.