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Finding the Fourth Proportional to 96,669,175,318.20, 145,003,762,977.30 and 96,669,175,318.20

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Solution

The fourth proportional to 96,669,175,318.20, 145,003,762,977.30 and 96,669,175,318.20 is: 145,003,762,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,669,175,318.20 : 145,003,762,977.30 = 96,669,175,318.20 : x
  2. Step 2: Convert to fraction form
    96,669,175,318.20/145,003,762,977.30 = 96,669,175,318.20/x
  3. Step 3: Cross multiply
    96,669,175,318.20x = 145,003,762,977.30 × 96,669,175,318.20
  4. Step 4: Simplify right side
    96,669,175,318.20x = 14,017,394,185,051,331,100,672
  5. Step 5: Solve for x
    x = 14,017,394,185,051,331,100,672/96,669,175,318.20
  6. Step 6: Final answer
    x = 145,003,762,977.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.