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Finding the Fourth Proportional to 704,611,209.85, 1,056,916,814.78 and 704,611,209.85

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Solution

The fourth proportional to 704,611,209.85, 1,056,916,814.78 and 704,611,209.85 is: 1,056,916,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,611,209.85 : 1,056,916,814.78 = 704,611,209.85 : x
  2. Step 2: Convert to fraction form
    704,611,209.85/1,056,916,814.78 = 704,611,209.85/x
  3. Step 3: Cross multiply
    704,611,209.85x = 1,056,916,814.78 × 704,611,209.85
  4. Step 4: Simplify right side
    704,611,209.85x = 744,715,435,569,421,056
  5. Step 5: Solve for x
    x = 744,715,435,569,421,056/704,611,209.85
  6. Step 6: Final answer
    x = 1,056,916,814.78

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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.