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Finding the Fourth Proportional to 867,497,472,003.30, 1,301,246,208,005 and 867,497,472,003.30

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Solution

The fourth proportional to 867,497,472,003.30, 1,301,246,208,005 and 867,497,472,003.30 is: 1,301,246,208,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,497,472,003.30 : 1,301,246,208,005 = 867,497,472,003.30 : x
  2. Step 2: Convert to fraction form
    867,497,472,003.30/1,301,246,208,005 = 867,497,472,003.30/x
  3. Step 3: Cross multiply
    867,497,472,003.30x = 1,301,246,208,005 × 867,497,472,003.30
  4. Step 4: Simplify right side
    867,497,472,003.30x = 1,128,827,795,898,217,827,139,584
  5. Step 5: Solve for x
    x = 1,128,827,795,898,217,827,139,584/867,497,472,003.30
  6. Step 6: Final answer
    x = 1,301,246,208,005

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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.