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Finding the Fourth Proportional to 72,584,464,002.80, 108,876,696,004.20 and 72,584,464,002.80

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Solution

The fourth proportional to 72,584,464,002.80, 108,876,696,004.20 and 72,584,464,002.80 is: 108,876,696,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,584,464,002.80 : 108,876,696,004.20 = 72,584,464,002.80 : x
  2. Step 2: Convert to fraction form
    72,584,464,002.80/108,876,696,004.20 = 72,584,464,002.80/x
  3. Step 3: Cross multiply
    72,584,464,002.80x = 108,876,696,004.20 × 72,584,464,002.80
  4. Step 4: Simplify right side
    72,584,464,002.80x = 7,902,756,621,860,653,236,224
  5. Step 5: Solve for x
    x = 7,902,756,621,860,653,236,224/72,584,464,002.80
  6. Step 6: Final answer
    x = 108,876,696,004.20

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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.