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Finding the Fourth Proportional to 488,374,680,906.30, 732,562,021,359.45 and 488,374,680,906.30

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Solution

The fourth proportional to 488,374,680,906.30, 732,562,021,359.45 and 488,374,680,906.30 is: 732,562,021,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,374,680,906.30 : 732,562,021,359.45 = 488,374,680,906.30 : x
  2. Step 2: Convert to fraction form
    488,374,680,906.30/732,562,021,359.45 = 488,374,680,906.30/x
  3. Step 3: Cross multiply
    488,374,680,906.30x = 732,562,021,359.45 × 488,374,680,906.30
  4. Step 4: Simplify right side
    488,374,680,906.30x = 357,764,743,425,495,503,208,448
  5. Step 5: Solve for x
    x = 357,764,743,425,495,503,208,448/488,374,680,906.30
  6. Step 6: Final answer
    x = 732,562,021,359.45

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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.