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Finding the Fourth Proportional to 577,408,507.80, 866,112,761.70 and 189,137,713.20

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Solution

The fourth proportional to 577,408,507.80, 866,112,761.70 and 189,137,713.20 is: 283,706,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,408,507.80 : 866,112,761.70 = 189,137,713.20 : x
  2. Step 2: Convert to fraction form
    577,408,507.80/866,112,761.70 = 189,137,713.20/x
  3. Step 3: Cross multiply
    577,408,507.80x = 866,112,761.70 × 189,137,713.20
  4. Step 4: Simplify right side
    577,408,507.80x = 163,814,587,121,274,528
  5. Step 5: Solve for x
    x = 163,814,587,121,274,528/577,408,507.80
  6. Step 6: Final answer
    x = 283,706,569.80

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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.