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Finding the Fourth Proportional to 502,794,165.60, 754,191,248.40 and 502,794,165.60

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Solution

The fourth proportional to 502,794,165.60, 754,191,248.40 and 502,794,165.60 is: 754,191,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,794,165.60 : 754,191,248.40 = 502,794,165.60 : x
  2. Step 2: Convert to fraction form
    502,794,165.60/754,191,248.40 = 502,794,165.60/x
  3. Step 3: Cross multiply
    502,794,165.60x = 754,191,248.40 × 502,794,165.60
  4. Step 4: Simplify right side
    502,794,165.60x = 379,202,959,442,100,352
  5. Step 5: Solve for x
    x = 379,202,959,442,100,352/502,794,165.60
  6. Step 6: Final answer
    x = 754,191,248.40

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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.