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Finding the Fourth Proportional to 1,005,518,448,212, 1,508,277,672,317.90 and 1,005,518,448,212

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Solution

The fourth proportional to 1,005,518,448,212, 1,508,277,672,317.90 and 1,005,518,448,212 is: 1,508,277,672,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,518,448,212 : 1,508,277,672,317.90 = 1,005,518,448,212 : x
  2. Step 2: Convert to fraction form
    1,005,518,448,212/1,508,277,672,317.90 = 1,005,518,448,212/x
  3. Step 3: Cross multiply
    1,005,518,448,212x = 1,508,277,672,317.90 × 1,005,518,448,212
  4. Step 4: Simplify right side
    1,005,518,448,212x = 1,516,601,024,541,902,065,631,232
  5. Step 5: Solve for x
    x = 1,516,601,024,541,902,065,631,232/1,005,518,448,212
  6. Step 6: Final answer
    x = 1,508,277,672,317.90

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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.