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Finding the Fourth Proportional to 10,194,849,216,002, 15,292,273,824,005 and 10,194,849,216,002

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Solution

The fourth proportional to 10,194,849,216,002, 15,292,273,824,005 and 10,194,849,216,002 is: 15,292,273,824,005

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194,849,216,002 : 15,292,273,824,005 = 10,194,849,216,002 : x
  2. Step 2: Convert to fraction form
    10,194,849,216,002/15,292,273,824,005 = 10,194,849,216,002/x
  3. Step 3: Cross multiply
    10,194,849,216,002x = 15,292,273,824,005 × 10,194,849,216,002
  4. Step 4: Simplify right side
    10,194,849,216,002x = 155,902,425,805,545,272,204,328,960
  5. Step 5: Solve for x
    x = 155,902,425,805,545,272,204,328,960/10,194,849,216,002
  6. Step 6: Final answer
    x = 15,292,273,824,005

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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.