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Finding the Fourth Proportional to 769,824,004.20, 1,154,736,006.30 and 769,824,004.20

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Solution

The fourth proportional to 769,824,004.20, 1,154,736,006.30 and 769,824,004.20 is: 1,154,736,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,824,004.20 : 1,154,736,006.30 = 769,824,004.20 : x
  2. Step 2: Convert to fraction form
    769,824,004.20/1,154,736,006.30 = 769,824,004.20/x
  3. Step 3: Cross multiply
    769,824,004.20x = 1,154,736,006.30 × 769,824,004.20
  4. Step 4: Simplify right side
    769,824,004.20x = 888,943,496,163,782,400
  5. Step 5: Solve for x
    x = 888,943,496,163,782,400/769,824,004.20
  6. Step 6: Final answer
    x = 1,154,736,006.30

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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.