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Finding the Fourth Proportional to 594,507,714.80, 891,761,572.20 and 206,201,490.80

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Solution

The fourth proportional to 594,507,714.80, 891,761,572.20 and 206,201,490.80 is: 309,302,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,507,714.80 : 891,761,572.20 = 206,201,490.80 : x
  2. Step 2: Convert to fraction form
    594,507,714.80/891,761,572.20 = 206,201,490.80/x
  3. Step 3: Cross multiply
    594,507,714.80x = 891,761,572.20 × 206,201,490.80
  4. Step 4: Simplify right side
    594,507,714.80x = 183,882,565,625,791,872
  5. Step 5: Solve for x
    x = 183,882,565,625,791,872/594,507,714.80
  6. Step 6: Final answer
    x = 309,302,236.20

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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.