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Finding the Fourth Proportional to 542,376,040.40, 813,564,060.60 and 283,670,561.60

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Solution

The fourth proportional to 542,376,040.40, 813,564,060.60 and 283,670,561.60 is: 425,505,842.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,376,040.40 : 813,564,060.60 = 283,670,561.60 : x
  2. Step 2: Convert to fraction form
    542,376,040.40/813,564,060.60 = 283,670,561.60/x
  3. Step 3: Cross multiply
    542,376,040.40x = 813,564,060.60 × 283,670,561.60
  4. Step 4: Simplify right side
    542,376,040.40x = 230,784,173,967,978,464
  5. Step 5: Solve for x
    x = 230,784,173,967,978,464/542,376,040.40
  6. Step 6: Final answer
    x = 425,505,842.40

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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.