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Finding the Fourth Proportional to 99,657,164.70, 149,485,747.05 and 99,657,164.70

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Solution

The fourth proportional to 99,657,164.70, 149,485,747.05 and 99,657,164.70 is: 149,485,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,657,164.70 : 149,485,747.05 = 99,657,164.70 : x
  2. Step 2: Convert to fraction form
    99,657,164.70/149,485,747.05 = 99,657,164.70/x
  3. Step 3: Cross multiply
    99,657,164.70x = 149,485,747.05 × 99,657,164.70
  4. Step 4: Simplify right side
    99,657,164.70x = 14,897,325,714,064,390
  5. Step 5: Solve for x
    x = 14,897,325,714,064,390/99,657,164.70
  6. Step 6: Final answer
    x = 149,485,747.05

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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.