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Finding the Fourth Proportional to 473,327,168.40, 709,654,829.40 and 214,666,304.40

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Solution

The fourth proportional to 473,327,168.40, 709,654,829.40 and 214,666,304.40 is: 321,847,106.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,327,168.40 : 709,654,829.40 = 214,666,304.40 : x
  2. Step 2: Convert to fraction form
    473,327,168.40/709,654,829.40 = 214,666,304.40/x
  3. Step 3: Cross multiply
    473,327,168.40x = 709,654,829.40 × 214,666,304.40
  4. Step 4: Simplify right side
    473,327,168.40x = 152,338,979,626,910,464
  5. Step 5: Solve for x
    x = 152,338,979,626,910,464/473,327,168.40
  6. Step 6: Final answer
    x = 321,847,106.60

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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.