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Finding the Fourth Proportional to 406,791,809.20, 610,187,713.80 and 362,201,114.80

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Solution

The fourth proportional to 406,791,809.20, 610,187,713.80 and 362,201,114.80 is: 543,301,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,791,809.20 : 610,187,713.80 = 362,201,114.80 : x
  2. Step 2: Convert to fraction form
    406,791,809.20/610,187,713.80 = 362,201,114.80/x
  3. Step 3: Cross multiply
    406,791,809.20x = 610,187,713.80 × 362,201,114.80
  4. Step 4: Simplify right side
    406,791,809.20x = 221,010,670,175,623,328
  5. Step 5: Solve for x
    x = 221,010,670,175,623,328/406,791,809.20
  6. Step 6: Final answer
    x = 543,301,672.20

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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.