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Finding the Fourth Proportional to 7,163,032,076.40, 10,744,548,114.60 and 7,163,032,076.40

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Solution

The fourth proportional to 7,163,032,076.40, 10,744,548,114.60 and 7,163,032,076.40 is: 10,744,548,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163,032,076.40 : 10,744,548,114.60 = 7,163,032,076.40 : x
  2. Step 2: Convert to fraction form
    7,163,032,076.40/10,744,548,114.60 = 7,163,032,076.40/x
  3. Step 3: Cross multiply
    7,163,032,076.40x = 10,744,548,114.60 × 7,163,032,076.40
  4. Step 4: Simplify right side
    7,163,032,076.40x = 76,963,542,791,302,938,624
  5. Step 5: Solve for x
    x = 76,963,542,791,302,938,624/7,163,032,076.40
  6. Step 6: Final answer
    x = 10,744,548,114.60

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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.