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Finding the Fourth Proportional to 566,778,859.40, 850,168,289.10 and 566,778,859.40

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Solution

The fourth proportional to 566,778,859.40, 850,168,289.10 and 566,778,859.40 is: 850,168,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,778,859.40 : 850,168,289.10 = 566,778,859.40 : x
  2. Step 2: Convert to fraction form
    566,778,859.40/850,168,289.10 = 566,778,859.40/x
  3. Step 3: Cross multiply
    566,778,859.40x = 850,168,289.10 × 566,778,859.40
  4. Step 4: Simplify right side
    566,778,859.40x = 481,857,413,194,147,456
  5. Step 5: Solve for x
    x = 481,857,413,194,147,456/566,778,859.40
  6. Step 6: Final answer
    x = 850,168,289.10

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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.