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Finding the Fourth Proportional to 838,561,832.40, 1,257,842,748.60 and 256,294,952.40

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Solution

The fourth proportional to 838,561,832.40, 1,257,842,748.60 and 256,294,952.40 is: 384,442,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,561,832.40 : 1,257,842,748.60 = 256,294,952.40 : x
  2. Step 2: Convert to fraction form
    838,561,832.40/1,257,842,748.60 = 256,294,952.40/x
  3. Step 3: Cross multiply
    838,561,832.40x = 1,257,842,748.60 × 256,294,952.40
  4. Step 4: Simplify right side
    838,561,832.40x = 322,378,747,379,122,176
  5. Step 5: Solve for x
    x = 322,378,747,379,122,176/838,561,832.40
  6. Step 6: Final answer
    x = 384,442,428.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.