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Finding the Fourth Proportional to 838,026,162,005.30, 1,257,039,243,008 and 838,026,162,005.30

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Solution

The fourth proportional to 838,026,162,005.30, 1,257,039,243,008 and 838,026,162,005.30 is: 1,257,039,243,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,026,162,005.30 : 1,257,039,243,008 = 838,026,162,005.30 : x
  2. Step 2: Convert to fraction form
    838,026,162,005.30/1,257,039,243,008 = 838,026,162,005.30/x
  3. Step 3: Cross multiply
    838,026,162,005.30x = 1,257,039,243,008 × 838,026,162,005.30
  4. Step 4: Simplify right side
    838,026,162,005.30x = 1,053,431,772,308,041,898,131,456
  5. Step 5: Solve for x
    x = 1,053,431,772,308,041,898,131,456/838,026,162,005.30
  6. Step 6: Final answer
    x = 1,257,039,243,008

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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.