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Finding the Fourth Proportional to 99,657,178.20, 149,485,767.30 and 99,657,178.20

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Solution

The fourth proportional to 99,657,178.20, 149,485,767.30 and 99,657,178.20 is: 149,485,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,657,178.20 : 149,485,767.30 = 99,657,178.20 : x
  2. Step 2: Convert to fraction form
    99,657,178.20/149,485,767.30 = 99,657,178.20/x
  3. Step 3: Cross multiply
    99,657,178.20x = 149,485,767.30 × 99,657,178.20
  4. Step 4: Simplify right side
    99,657,178.20x = 14,897,329,750,179,834
  5. Step 5: Solve for x
    x = 14,897,329,750,179,834/99,657,178.20
  6. Step 6: Final answer
    x = 149,485,767.30

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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.