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Finding the Fourth Proportional to 602,287,302.80, 903,430,954.20 and 449,232,294.80

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Solution

The fourth proportional to 602,287,302.80, 903,430,954.20 and 449,232,294.80 is: 673,848,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,287,302.80 : 903,430,954.20 = 449,232,294.80 : x
  2. Step 2: Convert to fraction form
    602,287,302.80/903,430,954.20 = 449,232,294.80/x
  3. Step 3: Cross multiply
    602,287,302.80x = 903,430,954.20 × 449,232,294.80
  4. Step 4: Simplify right side
    602,287,302.80x = 405,850,360,748,619,712
  5. Step 5: Solve for x
    x = 405,850,360,748,619,712/602,287,302.80
  6. Step 6: Final answer
    x = 673,848,442.20

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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.