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Finding the Fourth Proportional to 569,907,219.20, 854,860,828.80 and 538,162,476.80

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Solution

The fourth proportional to 569,907,219.20, 854,860,828.80 and 538,162,476.80 is: 807,243,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,907,219.20 : 854,860,828.80 = 538,162,476.80 : x
  2. Step 2: Convert to fraction form
    569,907,219.20/854,860,828.80 = 538,162,476.80/x
  3. Step 3: Cross multiply
    569,907,219.20x = 854,860,828.80 × 538,162,476.80
  4. Step 4: Simplify right side
    569,907,219.20x = 460,054,020,946,308,736
  5. Step 5: Solve for x
    x = 460,054,020,946,308,736/569,907,219.20
  6. Step 6: Final answer
    x = 807,243,715.20

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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.