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Finding the Fourth Proportional to 647,341,806.30, 971,012,709.45 and 647,341,806.30

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Solution

The fourth proportional to 647,341,806.30, 971,012,709.45 and 647,341,806.30 is: 971,012,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,341,806.30 : 971,012,709.45 = 647,341,806.30 : x
  2. Step 2: Convert to fraction form
    647,341,806.30/971,012,709.45 = 647,341,806.30/x
  3. Step 3: Cross multiply
    647,341,806.30x = 971,012,709.45 × 647,341,806.30
  4. Step 4: Simplify right side
    647,341,806.30x = 628,577,121,275,620,096
  5. Step 5: Solve for x
    x = 628,577,121,275,620,096/647,341,806.30
  6. Step 6: Final answer
    x = 971,012,709.45

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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.