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Finding the Fourth Proportional to 567,218,142,745.20, 850,827,214,117.80 and 567,218,142,745.20

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Solution

The fourth proportional to 567,218,142,745.20, 850,827,214,117.80 and 567,218,142,745.20 is: 850,827,214,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,218,142,745.20 : 850,827,214,117.80 = 567,218,142,745.20 : x
  2. Step 2: Convert to fraction form
    567,218,142,745.20/850,827,214,117.80 = 567,218,142,745.20/x
  3. Step 3: Cross multiply
    567,218,142,745.20x = 850,827,214,117.80 × 567,218,142,745.20
  4. Step 4: Simplify right side
    567,218,142,745.20x = 482,604,632,188,971,124,785,152
  5. Step 5: Solve for x
    x = 482,604,632,188,971,124,785,152/567,218,142,745.20
  6. Step 6: Final answer
    x = 850,827,214,117.80

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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.