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Finding the Fourth Proportional to 692,238,203,999.90, 1,038,357,305,999.80 and 692,238,203,999.90

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Solution

The fourth proportional to 692,238,203,999.90, 1,038,357,305,999.80 and 692,238,203,999.90 is: 1,038,357,305,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,238,203,999.90 : 1,038,357,305,999.80 = 692,238,203,999.90 : x
  2. Step 2: Convert to fraction form
    692,238,203,999.90/1,038,357,305,999.80 = 692,238,203,999.90/x
  3. Step 3: Cross multiply
    692,238,203,999.90x = 1,038,357,305,999.80 × 692,238,203,999.90
  4. Step 4: Simplify right side
    692,238,203,999.90x = 718,790,596,615,476,170,719,232
  5. Step 5: Solve for x
    x = 718,790,596,615,476,170,719,232/692,238,203,999.90
  6. Step 6: Final answer
    x = 1,038,357,305,999.80

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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.