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Finding the Fourth Proportional to 488,374,677,445.30, 732,562,016,167.95 and 488,374,677,445.30

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Solution

The fourth proportional to 488,374,677,445.30, 732,562,016,167.95 and 488,374,677,445.30 is: 732,562,016,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,374,677,445.30 : 732,562,016,167.95 = 488,374,677,445.30 : x
  2. Step 2: Convert to fraction form
    488,374,677,445.30/732,562,016,167.95 = 488,374,677,445.30/x
  3. Step 3: Cross multiply
    488,374,677,445.30x = 732,562,016,167.95 × 488,374,677,445.30
  4. Step 4: Simplify right side
    488,374,677,445.30x = 357,764,738,354,701,219,659,776
  5. Step 5: Solve for x
    x = 357,764,738,354,701,219,659,776/488,374,677,445.30
  6. Step 6: Final answer
    x = 732,562,016,167.95

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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.