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Finding the Fourth Proportional to 604,347,712.20, 906,521,568.30 and 420,681,702.60

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Solution

The fourth proportional to 604,347,712.20, 906,521,568.30 and 420,681,702.60 is: 631,022,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,347,712.20 : 906,521,568.30 = 420,681,702.60 : x
  2. Step 2: Convert to fraction form
    604,347,712.20/906,521,568.30 = 420,681,702.60/x
  3. Step 3: Cross multiply
    604,347,712.20x = 906,521,568.30 × 420,681,702.60
  4. Step 4: Simplify right side
    604,347,712.20x = 381,357,036,796,066,176
  5. Step 5: Solve for x
    x = 381,357,036,796,066,176/604,347,712.20
  6. Step 6: Final answer
    x = 631,022,553.90

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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.