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Finding the Fourth Proportional to 424,098,835.20, 635,252,457.60 and 424,098,835.20

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Solution

The fourth proportional to 424,098,835.20, 635,252,457.60 and 424,098,835.20 is: 635,252,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098,835.20 : 635,252,457.60 = 424,098,835.20 : x
  2. Step 2: Convert to fraction form
    424,098,835.20/635,252,457.60 = 424,098,835.20/x
  3. Step 3: Cross multiply
    424,098,835.20x = 635,252,457.60 × 424,098,835.20
  4. Step 4: Simplify right side
    424,098,835.20x = 269,409,827,326,097,376
  5. Step 5: Solve for x
    x = 269,409,827,326,097,376/424,098,835.20
  6. Step 6: Final answer
    x = 635,252,457.60

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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.