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Finding the Fourth Proportional to 264,020,803,564.20, 396,031,205,346.30 and 264,020,803,564.20

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Solution

The fourth proportional to 264,020,803,564.20, 396,031,205,346.30 and 264,020,803,564.20 is: 396,031,205,346.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,020,803,564.20 : 396,031,205,346.30 = 264,020,803,564.20 : x
  2. Step 2: Convert to fraction form
    264,020,803,564.20/396,031,205,346.30 = 264,020,803,564.20/x
  3. Step 3: Cross multiply
    264,020,803,564.20x = 396,031,205,346.30 × 264,020,803,564.20
  4. Step 4: Simplify right side
    264,020,803,564.20x = 104,560,477,072,028,822,667,264
  5. Step 5: Solve for x
    x = 104,560,477,072,028,822,667,264/264,020,803,564.20
  6. Step 6: Final answer
    x = 396,031,205,346.30

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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.