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Finding the Fourth Proportional to 503,843,045.80, 755,764,568.70 and 213,038,530.60

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Solution

The fourth proportional to 503,843,045.80, 755,764,568.70 and 213,038,530.60 is: 319,557,795.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,843,045.80 : 755,764,568.70 = 213,038,530.60 : x
  2. Step 2: Convert to fraction form
    503,843,045.80/755,764,568.70 = 213,038,530.60/x
  3. Step 3: Cross multiply
    503,843,045.80x = 755,764,568.70 × 213,038,530.60
  4. Step 4: Simplify right side
    503,843,045.80x = 161,006,973,195,390,752
  5. Step 5: Solve for x
    x = 161,006,973,195,390,752/503,843,045.80
  6. Step 6: Final answer
    x = 319,557,795.90

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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.