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Finding the Fourth Proportional to 577,459,810.70, 866,402,292.45 and 189,295,304.30

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Solution

The fourth proportional to 577,459,810.70, 866,402,292.45 and 189,295,304.30 is: 284,012,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,459,810.70 : 866,402,292.45 = 189,295,304.30 : x
  2. Step 2: Convert to fraction form
    577,459,810.70/866,402,292.45 = 189,295,304.30/x
  3. Step 3: Cross multiply
    577,459,810.70x = 866,402,292.45 × 189,295,304.30
  4. Step 4: Simplify right side
    577,459,810.70x = 164,005,885,595,540,352
  5. Step 5: Solve for x
    x = 164,005,885,595,540,352/577,459,810.70
  6. Step 6: Final answer
    x = 284,012,640.46

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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.