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Finding the Fourth Proportional to 96,388,616,195.20, 144,582,924,292.80 and 96,388,616,195.20

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Solution

The fourth proportional to 96,388,616,195.20, 144,582,924,292.80 and 96,388,616,195.20 is: 144,582,924,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,388,616,195.20 : 144,582,924,292.80 = 96,388,616,195.20 : x
  2. Step 2: Convert to fraction form
    96,388,616,195.20/144,582,924,292.80 = 96,388,616,195.20/x
  3. Step 3: Cross multiply
    96,388,616,195.20x = 144,582,924,292.80 × 96,388,616,195.20
  4. Step 4: Simplify right side
    96,388,616,195.20x = 13,936,147,998,038,355,345,408
  5. Step 5: Solve for x
    x = 13,936,147,998,038,355,345,408/96,388,616,195.20
  6. Step 6: Final answer
    x = 144,582,924,292.80

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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.