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Finding the Fourth Proportional to 299,137,294, 448,764,115.20 and 114,891,292

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Solution

The fourth proportional to 299,137,294, 448,764,115.20 and 114,891,292 is: 172,359,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,137,294 : 448,764,115.20 = 114,891,292 : x
  2. Step 2: Convert to fraction form
    299,137,294/448,764,115.20 = 114,891,292/x
  3. Step 3: Cross multiply
    299,137,294x = 448,764,115.20 × 114,891,292
  4. Step 4: Simplify right side
    299,137,294x = 51,559,088,998,564,840
  5. Step 5: Solve for x
    x = 51,559,088,998,564,840/299,137,294
  6. Step 6: Final answer
    x = 172,359,281.28

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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.