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Finding the Fourth Proportional to 268,809,502,657.20, 403,214,253,985.80 and 268,809,502,657.20

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Solution

The fourth proportional to 268,809,502,657.20, 403,214,253,985.80 and 268,809,502,657.20 is: 403,214,253,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,809,502,657.20 : 403,214,253,985.80 = 268,809,502,657.20 : x
  2. Step 2: Convert to fraction form
    268,809,502,657.20/403,214,253,985.80 = 268,809,502,657.20/x
  3. Step 3: Cross multiply
    268,809,502,657.20x = 403,214,253,985.80 × 268,809,502,657.20
  4. Step 4: Simplify right side
    268,809,502,657.20x = 108,387,823,078,216,826,880,000
  5. Step 5: Solve for x
    x = 108,387,823,078,216,826,880,000/268,809,502,657.20
  6. Step 6: Final answer
    x = 403,214,253,985.80

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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.