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Finding the Fourth Proportional to 7,163,032,170.90, 10,744,548,256.35 and 7,163,032,170.90

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Solution

The fourth proportional to 7,163,032,170.90, 10,744,548,256.35 and 7,163,032,170.90 is: 10,744,548,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163,032,170.90 : 10,744,548,256.35 = 7,163,032,170.90 : x
  2. Step 2: Convert to fraction form
    7,163,032,170.90/10,744,548,256.35 = 7,163,032,170.90/x
  3. Step 3: Cross multiply
    7,163,032,170.90x = 10,744,548,256.35 × 7,163,032,170.90
  4. Step 4: Simplify right side
    7,163,032,170.90x = 76,963,544,822,022,553,600
  5. Step 5: Solve for x
    x = 76,963,544,822,022,553,600/7,163,032,170.90
  6. Step 6: Final answer
    x = 10,744,548,256.35

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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.