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Finding the Fourth Proportional to 27,997,427,267.30, 41,996,140,900.95 and 27,997,427,267.30

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Solution

The fourth proportional to 27,997,427,267.30, 41,996,140,900.95 and 27,997,427,267.30 is: 41,996,140,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997,427,267.30 : 41,996,140,900.95 = 27,997,427,267.30 : x
  2. Step 2: Convert to fraction form
    27,997,427,267.30/41,996,140,900.95 = 27,997,427,267.30/x
  3. Step 3: Cross multiply
    27,997,427,267.30x = 41,996,140,900.95 × 27,997,427,267.30
  4. Step 4: Simplify right side
    27,997,427,267.30x = 1,175,783,900,381,630,169,088
  5. Step 5: Solve for x
    x = 1,175,783,900,381,630,169,088/27,997,427,267.30
  6. Step 6: Final answer
    x = 41,996,140,900.95

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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.