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Finding the Fourth Proportional to 264,020,803,567.45, 396,031,205,351.17 and 264,020,803,567.45

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Solution

The fourth proportional to 264,020,803,567.45, 396,031,205,351.17 and 264,020,803,567.45 is: 396,031,205,351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,020,803,567.45 : 396,031,205,351.17 = 264,020,803,567.45 : x
  2. Step 2: Convert to fraction form
    264,020,803,567.45/396,031,205,351.17 = 264,020,803,567.45/x
  3. Step 3: Cross multiply
    264,020,803,567.45x = 396,031,205,351.17 × 264,020,803,567.45
  4. Step 4: Simplify right side
    264,020,803,567.45x = 104,560,477,074,601,709,404,160
  5. Step 5: Solve for x
    x = 104,560,477,074,601,709,404,160/264,020,803,567.45
  6. Step 6: Final answer
    x = 396,031,205,351.17

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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.