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Finding the Fourth Proportional to 12,199,142,712.30, 18,298,714,068.45 and 12,199,142,712.30

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Solution

The fourth proportional to 12,199,142,712.30, 18,298,714,068.45 and 12,199,142,712.30 is: 18,298,714,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199,142,712.30 : 18,298,714,068.45 = 12,199,142,712.30 : x
  2. Step 2: Convert to fraction form
    12,199,142,712.30/18,298,714,068.45 = 12,199,142,712.30/x
  3. Step 3: Cross multiply
    12,199,142,712.30x = 18,298,714,068.45 × 12,199,142,712.30
  4. Step 4: Simplify right side
    12,199,142,712.30x = 223,228,624,372,593,295,360
  5. Step 5: Solve for x
    x = 223,228,624,372,593,295,360/12,199,142,712.30
  6. Step 6: Final answer
    x = 18,298,714,068.45

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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.