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Finding the Fourth Proportional to 117,348,656,820.20, 176,022,985,230.30 and 117,348,656,820.20

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Solution

The fourth proportional to 117,348,656,820.20, 176,022,985,230.30 and 117,348,656,820.20 is: 176,022,985,230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,348,656,820.20 : 176,022,985,230.30 = 117,348,656,820.20 : x
  2. Step 2: Convert to fraction form
    117,348,656,820.20/176,022,985,230.30 = 117,348,656,820.20/x
  3. Step 3: Cross multiply
    117,348,656,820.20x = 176,022,985,230.30 × 117,348,656,820.20
  4. Step 4: Simplify right side
    117,348,656,820.20x = 20,656,060,886,257,605,017,600
  5. Step 5: Solve for x
    x = 20,656,060,886,257,605,017,600/117,348,656,820.20
  6. Step 6: Final answer
    x = 176,022,985,230.30

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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.