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Finding the Fourth Proportional to 400,813,972,800.30, 601,220,959,200.45 and 400,813,972,800.30

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Solution

The fourth proportional to 400,813,972,800.30, 601,220,959,200.45 and 400,813,972,800.30 is: 601,220,959,200.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,813,972,800.30 : 601,220,959,200.45 = 400,813,972,800.30 : x
  2. Step 2: Convert to fraction form
    400,813,972,800.30/601,220,959,200.45 = 400,813,972,800.30/x
  3. Step 3: Cross multiply
    400,813,972,800.30x = 601,220,959,200.45 × 400,813,972,800.30
  4. Step 4: Simplify right side
    400,813,972,800.30x = 240,977,761,187,939,401,859,072
  5. Step 5: Solve for x
    x = 240,977,761,187,939,401,859,072/400,813,972,800.30
  6. Step 6: Final answer
    x = 601,220,959,200.45

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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.