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Finding the Fourth Proportional to 488,335,876.80, 732,503,815.20 and 450,922,430.40

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Solution

The fourth proportional to 488,335,876.80, 732,503,815.20 and 450,922,430.40 is: 676,383,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,335,876.80 : 732,503,815.20 = 450,922,430.40 : x
  2. Step 2: Convert to fraction form
    488,335,876.80/732,503,815.20 = 450,922,430.40/x
  3. Step 3: Cross multiply
    488,335,876.80x = 732,503,815.20 × 450,922,430.40
  4. Step 4: Simplify right side
    488,335,876.80x = 330,302,400,627,256,448
  5. Step 5: Solve for x
    x = 330,302,400,627,256,448/488,335,876.80
  6. Step 6: Final answer
    x = 676,383,645.60

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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.