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Finding the Fourth Proportional to 128,127,744,011.60, 192,191,616,017.40 and 128,127,744,011.60

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Solution

The fourth proportional to 128,127,744,011.60, 192,191,616,017.40 and 128,127,744,011.60 is: 192,191,616,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,127,744,011.60 : 192,191,616,017.40 = 128,127,744,011.60 : x
  2. Step 2: Convert to fraction form
    128,127,744,011.60/192,191,616,017.40 = 128,127,744,011.60/x
  3. Step 3: Cross multiply
    128,127,744,011.60x = 192,191,616,017.40 × 128,127,744,011.60
  4. Step 4: Simplify right side
    128,127,744,011.60x = 24,625,078,178,253,149,044,736
  5. Step 5: Solve for x
    x = 24,625,078,178,253,149,044,736/128,127,744,011.60
  6. Step 6: Final answer
    x = 192,191,616,017.40

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1.5x scale

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.