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Finding the Fourth Proportional to 110,038,561,346.70, 165,057,842,020.05 and 110,038,561,346.70

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Solution

The fourth proportional to 110,038,561,346.70, 165,057,842,020.05 and 110,038,561,346.70 is: 165,057,842,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,038,561,346.70 : 165,057,842,020.05 = 110,038,561,346.70 : x
  2. Step 2: Convert to fraction form
    110,038,561,346.70/165,057,842,020.05 = 110,038,561,346.70/x
  3. Step 3: Cross multiply
    110,038,561,346.70x = 165,057,842,020.05 × 110,038,561,346.70
  4. Step 4: Simplify right side
    110,038,561,346.70x = 18,162,727,474,877,186,441,216
  5. Step 5: Solve for x
    x = 18,162,727,474,877,186,441,216/110,038,561,346.70
  6. Step 6: Final answer
    x = 165,057,842,020.05

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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.