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Finding the Fourth Proportional to 488,335,906.80, 732,503,860.20 and 450,922,460.40

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Solution

The fourth proportional to 488,335,906.80, 732,503,860.20 and 450,922,460.40 is: 676,383,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,335,906.80 : 732,503,860.20 = 450,922,460.40 : x
  2. Step 2: Convert to fraction form
    488,335,906.80/732,503,860.20 = 450,922,460.40/x
  3. Step 3: Cross multiply
    488,335,906.80x = 732,503,860.20 × 450,922,460.40
  4. Step 4: Simplify right side
    488,335,906.80x = 330,302,442,893,881,664
  5. Step 5: Solve for x
    x = 330,302,442,893,881,664/488,335,906.80
  6. Step 6: Final answer
    x = 676,383,690.60

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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.