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Finding the Fourth Proportional to 1,161,753,244.80, 1,630,536,009.60 and 1,161,753,244.80

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Solution

The fourth proportional to 1,161,753,244.80, 1,630,536,009.60 and 1,161,753,244.80 is: 1,630,536,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,753,244.80 : 1,630,536,009.60 = 1,161,753,244.80 : x
  2. Step 2: Convert to fraction form
    1,161,753,244.80/1,630,536,009.60 = 1,161,753,244.80/x
  3. Step 3: Cross multiply
    1,161,753,244.80x = 1,630,536,009.60 × 1,161,753,244.80
  4. Step 4: Simplify right side
    1,161,753,244.80x = 1,894,280,499,916,043,776
  5. Step 5: Solve for x
    x = 1,894,280,499,916,043,776/1,161,753,244.80
  6. Step 6: Final answer
    x = 1,630,536,009.60

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.