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Finding the Fourth Proportional to 590,976,038.40, 886,464,057.60 and 284,110,195.20

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Solution

The fourth proportional to 590,976,038.40, 886,464,057.60 and 284,110,195.20 is: 426,165,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,976,038.40 : 886,464,057.60 = 284,110,195.20 : x
  2. Step 2: Convert to fraction form
    590,976,038.40/886,464,057.60 = 284,110,195.20/x
  3. Step 3: Cross multiply
    590,976,038.40x = 886,464,057.60 × 284,110,195.20
  4. Step 4: Simplify right side
    590,976,038.40x = 251,853,476,442,520,032
  5. Step 5: Solve for x
    x = 251,853,476,442,520,032/590,976,038.40
  6. Step 6: Final answer
    x = 426,165,292.80

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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.