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Finding the Fourth Proportional to 400,813,973,764.80, 601,220,960,647.20 and 400,813,973,764.80

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Solution

The fourth proportional to 400,813,973,764.80, 601,220,960,647.20 and 400,813,973,764.80 is: 601,220,960,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,813,973,764.80 : 601,220,960,647.20 = 400,813,973,764.80 : x
  2. Step 2: Convert to fraction form
    400,813,973,764.80/601,220,960,647.20 = 400,813,973,764.80/x
  3. Step 3: Cross multiply
    400,813,973,764.80x = 601,220,960,647.20 × 400,813,973,764.80
  4. Step 4: Simplify right side
    400,813,973,764.80x = 240,977,762,347,694,656,847,872
  5. Step 5: Solve for x
    x = 240,977,762,347,694,656,847,872/400,813,973,764.80
  6. Step 6: Final answer
    x = 601,220,960,647.20

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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.