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Finding the Fourth Proportional to 151,243,043,321.40, 226,864,564,982.10 and 151,243,043,321.40

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Solution

The fourth proportional to 151,243,043,321.40, 226,864,564,982.10 and 151,243,043,321.40 is: 226,864,564,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,243,043,321.40 : 226,864,564,982.10 = 151,243,043,321.40 : x
  2. Step 2: Convert to fraction form
    151,243,043,321.40/226,864,564,982.10 = 151,243,043,321.40/x
  3. Step 3: Cross multiply
    151,243,043,321.40x = 226,864,564,982.10 × 151,243,043,321.40
  4. Step 4: Simplify right side
    151,243,043,321.40x = 34,311,687,229,678,314,061,824
  5. Step 5: Solve for x
    x = 34,311,687,229,678,314,061,824/151,243,043,321.40
  6. Step 6: Final answer
    x = 226,864,564,982.10

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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.