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Finding the Fourth Proportional to 299,069,842.40, 448,665,416.40 and 169,739,410.40

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Solution

The fourth proportional to 299,069,842.40, 448,665,416.40 and 169,739,410.40 is: 254,643,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,069,842.40 : 448,665,416.40 = 169,739,410.40 : x
  2. Step 2: Convert to fraction form
    299,069,842.40/448,665,416.40 = 169,739,410.40/x
  3. Step 3: Cross multiply
    299,069,842.40x = 448,665,416.40 × 169,739,410.40
  4. Step 4: Simplify right side
    299,069,842.40x = 76,156,203,246,606,496
  5. Step 5: Solve for x
    x = 76,156,203,246,606,496/299,069,842.40
  6. Step 6: Final answer
    x = 254,643,539.57

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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.