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Finding the Fourth Proportional to 502,795,205.60, 754,192,808.40 and 502,795,205.60

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Solution

The fourth proportional to 502,795,205.60, 754,192,808.40 and 502,795,205.60 is: 754,192,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,795,205.60 : 754,192,808.40 = 502,795,205.60 : x
  2. Step 2: Convert to fraction form
    502,795,205.60/754,192,808.40 = 502,795,205.60/x
  3. Step 3: Cross multiply
    502,795,205.60x = 754,192,808.40 × 502,795,205.60
  4. Step 4: Simplify right side
    502,795,205.60x = 379,204,528,161,519,424
  5. Step 5: Solve for x
    x = 379,204,528,161,519,424/502,795,205.60
  6. Step 6: Final answer
    x = 754,192,808.40

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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.