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Finding the Fourth Proportional to 299,563,247.80, 449,344,871.70 and 265,523,030.20

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Solution

The fourth proportional to 299,563,247.80, 449,344,871.70 and 265,523,030.20 is: 398,284,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,563,247.80 : 449,344,871.70 = 265,523,030.20 : x
  2. Step 2: Convert to fraction form
    299,563,247.80/449,344,871.70 = 265,523,030.20/x
  3. Step 3: Cross multiply
    299,563,247.80x = 449,344,871.70 × 265,523,030.20
  4. Step 4: Simplify right side
    299,563,247.80x = 119,311,411,938,614,224
  5. Step 5: Solve for x
    x = 119,311,411,938,614,224/299,563,247.80
  6. Step 6: Final answer
    x = 398,284,545.30

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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.