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Finding the Fourth Proportional to 580,849,301.40, 871,273,952.10 and 449,335,368.60

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Solution

The fourth proportional to 580,849,301.40, 871,273,952.10 and 449,335,368.60 is: 674,003,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,849,301.40 : 871,273,952.10 = 449,335,368.60 : x
  2. Step 2: Convert to fraction form
    580,849,301.40/871,273,952.10 = 449,335,368.60/x
  3. Step 3: Cross multiply
    580,849,301.40x = 871,273,952.10 × 449,335,368.60
  4. Step 4: Simplify right side
    580,849,301.40x = 391,494,202,418,432,256
  5. Step 5: Solve for x
    x = 391,494,202,418,432,256/580,849,301.40
  6. Step 6: Final answer
    x = 674,003,052.90

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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.