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Finding the Fourth Proportional to 297,323,612.80, 445,985,419.20 and 297,323,612.80

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Solution

The fourth proportional to 297,323,612.80, 445,985,419.20 and 297,323,612.80 is: 445,985,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,323,612.80 : 445,985,419.20 = 297,323,612.80 : x
  2. Step 2: Convert to fraction form
    297,323,612.80/445,985,419.20 = 297,323,612.80/x
  3. Step 3: Cross multiply
    297,323,612.80x = 445,985,419.20 × 297,323,612.80
  4. Step 4: Simplify right side
    297,323,612.80x = 132,601,996,092,666,480
  5. Step 5: Solve for x
    x = 132,601,996,092,666,480/297,323,612.80
  6. Step 6: Final answer
    x = 445,985,419.20

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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.