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Finding the Fourth Proportional to 577,374,328.80, 866,061,493.20 and 422,406,133.20

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Solution

The fourth proportional to 577,374,328.80, 866,061,493.20 and 422,406,133.20 is: 633,609,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,374,328.80 : 866,061,493.20 = 422,406,133.20 : x
  2. Step 2: Convert to fraction form
    577,374,328.80/866,061,493.20 = 422,406,133.20/x
  3. Step 3: Cross multiply
    577,374,328.80x = 866,061,493.20 × 422,406,133.20
  4. Step 4: Simplify right side
    577,374,328.80x = 365,829,686,456,030,080
  5. Step 5: Solve for x
    x = 365,829,686,456,030,080/577,374,328.80
  6. Step 6: Final answer
    x = 633,609,199.80

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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.