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Finding the Fourth Proportional to 128,127,744,008.60, 192,191,616,012.90 and 128,127,744,008.60

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Solution

The fourth proportional to 128,127,744,008.60, 192,191,616,012.90 and 128,127,744,008.60 is: 192,191,616,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,127,744,008.60 : 192,191,616,012.90 = 128,127,744,008.60 : x
  2. Step 2: Convert to fraction form
    128,127,744,008.60/192,191,616,012.90 = 128,127,744,008.60/x
  3. Step 3: Cross multiply
    128,127,744,008.60x = 192,191,616,012.90 × 128,127,744,008.60
  4. Step 4: Simplify right side
    128,127,744,008.60x = 24,625,078,177,100,000,657,408
  5. Step 5: Solve for x
    x = 24,625,078,177,100,000,657,408/128,127,744,008.60
  6. Step 6: Final answer
    x = 192,191,616,012.90

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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.