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Finding the Fourth Proportional to 1,235,203,758,003, 1,852,805,637,004.70 and 1,235,203,758,003

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Solution

The fourth proportional to 1,235,203,758,003, 1,852,805,637,004.70 and 1,235,203,758,003 is: 1,852,805,637,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,203,758,003 : 1,852,805,637,004.70 = 1,235,203,758,003 : x
  2. Step 2: Convert to fraction form
    1,235,203,758,003/1,852,805,637,004.70 = 1,235,203,758,003/x
  3. Step 3: Cross multiply
    1,235,203,758,003x = 1,852,805,637,004.70 × 1,235,203,758,003
  4. Step 4: Simplify right side
    1,235,203,758,003x = 2,288,592,485,677,347,593,256,960
  5. Step 5: Solve for x
    x = 2,288,592,485,677,347,593,256,960/1,235,203,758,003
  6. Step 6: Final answer
    x = 1,852,805,637,004.70

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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.