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Finding the Fourth Proportional to 156,947,102,973.20, 235,420,654,459.80 and 156,947,102,973.20

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Solution

The fourth proportional to 156,947,102,973.20, 235,420,654,459.80 and 156,947,102,973.20 is: 235,420,654,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,947,102,973.20 : 235,420,654,459.80 = 156,947,102,973.20 : x
  2. Step 2: Convert to fraction form
    156,947,102,973.20/235,420,654,459.80 = 156,947,102,973.20/x
  3. Step 3: Cross multiply
    156,947,102,973.20x = 235,420,654,459.80 × 156,947,102,973.20
  4. Step 4: Simplify right side
    156,947,102,973.20x = 36,948,589,697,520,367,566,848
  5. Step 5: Solve for x
    x = 36,948,589,697,520,367,566,848/156,947,102,973.20
  6. Step 6: Final answer
    x = 235,420,654,459.80

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1.5x scale

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.