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Finding the Fourth Proportional to 496,692,401.40, 745,038,602.10 and 486,488,734.20

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Solution

The fourth proportional to 496,692,401.40, 745,038,602.10 and 486,488,734.20 is: 729,733,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,692,401.40 : 745,038,602.10 = 486,488,734.20 : x
  2. Step 2: Convert to fraction form
    496,692,401.40/745,038,602.10 = 486,488,734.20/x
  3. Step 3: Cross multiply
    496,692,401.40x = 745,038,602.10 × 486,488,734.20
  4. Step 4: Simplify right side
    496,692,401.40x = 362,452,886,465,766,464
  5. Step 5: Solve for x
    x = 362,452,886,465,766,464/496,692,401.40
  6. Step 6: Final answer
    x = 729,733,101.30

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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.