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Finding the Fourth Proportional to 890,214,374.04, 1,334,379,105 and 299,442,212.16

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Solution

The fourth proportional to 890,214,374.04, 1,334,379,105 and 299,442,212.16 is: 448,846,303.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,214,374.04 : 1,334,379,105 = 299,442,212.16 : x
  2. Step 2: Convert to fraction form
    890,214,374.04/1,334,379,105 = 299,442,212.16/x
  3. Step 3: Cross multiply
    890,214,374.04x = 1,334,379,105 × 299,442,212.16
  4. Step 4: Simplify right side
    890,214,374.04x = 399,569,431,061,280,960
  5. Step 5: Solve for x
    x = 399,569,431,061,280,960/890,214,374.04
  6. Step 6: Final answer
    x = 448,846,303.44

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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.