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Finding the Fourth Proportional to 264,224,813,036.20, 396,337,219,554.30 and 264,224,813,036.20

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Solution

The fourth proportional to 264,224,813,036.20, 396,337,219,554.30 and 264,224,813,036.20 is: 396,337,219,554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,813,036.20 : 396,337,219,554.30 = 264,224,813,036.20 : x
  2. Step 2: Convert to fraction form
    264,224,813,036.20/396,337,219,554.30 = 264,224,813,036.20/x
  3. Step 3: Cross multiply
    264,224,813,036.20x = 396,337,219,554.30 × 264,224,813,036.20
  4. Step 4: Simplify right side
    264,224,813,036.20x = 104,722,127,736,022,262,349,824
  5. Step 5: Solve for x
    x = 104,722,127,736,022,262,349,824/264,224,813,036.20
  6. Step 6: Final answer
    x = 396,337,219,554.30

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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.