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Finding the Fourth Proportional to 71,912,448,001.60, 107,868,672,002.40 and 71,912,448,001.60

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Solution

The fourth proportional to 71,912,448,001.60, 107,868,672,002.40 and 71,912,448,001.60 is: 107,868,672,002.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,912,448,001.60 : 107,868,672,002.40 = 71,912,448,001.60 : x
  2. Step 2: Convert to fraction form
    71,912,448,001.60/107,868,672,002.40 = 71,912,448,001.60/x
  3. Step 3: Cross multiply
    71,912,448,001.60x = 107,868,672,002.40 × 71,912,448,001.60
  4. Step 4: Simplify right side
    71,912,448,001.60x = 7,757,100,266,374,235,684,864
  5. Step 5: Solve for x
    x = 7,757,100,266,374,235,684,864/71,912,448,001.60
  6. Step 6: Final answer
    x = 107,868,672,002.40

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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.