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Finding the Fourth Proportional to 6,551,008,193.80, 9,826,512,290.72 and 6,551,008,193.80

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Solution

The fourth proportional to 6,551,008,193.80, 9,826,512,290.72 and 6,551,008,193.80 is: 9,826,512,290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551,008,193.80 : 9,826,512,290.72 = 6,551,008,193.80 : x
  2. Step 2: Convert to fraction form
    6,551,008,193.80/9,826,512,290.72 = 6,551,008,193.80/x
  3. Step 3: Cross multiply
    6,551,008,193.80x = 9,826,512,290.72 × 6,551,008,193.80
  4. Step 4: Simplify right side
    6,551,008,193.80x = 64,373,562,532,950,376,448
  5. Step 5: Solve for x
    x = 64,373,562,532,950,376,448/6,551,008,193.80
  6. Step 6: Final answer
    x = 9,826,512,290.72

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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.