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Finding the Fourth Proportional to 407,996,977.20, 611,995,465.80 and 294,056,026.80

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Solution

The fourth proportional to 407,996,977.20, 611,995,465.80 and 294,056,026.80 is: 441,084,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,996,977.20 : 611,995,465.80 = 294,056,026.80 : x
  2. Step 2: Convert to fraction form
    407,996,977.20/611,995,465.80 = 294,056,026.80/x
  3. Step 3: Cross multiply
    407,996,977.20x = 611,995,465.80 × 294,056,026.80
  4. Step 4: Simplify right side
    407,996,977.20x = 179,960,955,092,763,264
  5. Step 5: Solve for x
    x = 179,960,955,092,763,264/407,996,977.20
  6. Step 6: Final answer
    x = 441,084,040.20

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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.