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Finding the Fourth Proportional to 569,646,006.40, 854,469,009.60 and 546,687,755.20

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Solution

The fourth proportional to 569,646,006.40, 854,469,009.60 and 546,687,755.20 is: 820,031,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,646,006.40 : 854,469,009.60 = 546,687,755.20 : x
  2. Step 2: Convert to fraction form
    569,646,006.40/854,469,009.60 = 546,687,755.20/x
  3. Step 3: Cross multiply
    569,646,006.40x = 854,469,009.60 × 546,687,755.20
  4. Step 4: Simplify right side
    569,646,006.40x = 467,127,744,746,191,296
  5. Step 5: Solve for x
    x = 467,127,744,746,191,296/569,646,006.40
  6. Step 6: Final answer
    x = 820,031,632.80

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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.