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Finding the Fourth Proportional to 19,892,370,298,001, 29,838,555,447,002 and 19,892,370,298,001

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Solution

The fourth proportional to 19,892,370,298,001, 29,838,555,447,002 and 19,892,370,298,001 is: 29,838,555,447,002

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892,370,298,001 : 29,838,555,447,002 = 19,892,370,298,001 : x
  2. Step 2: Convert to fraction form
    19,892,370,298,001/29,838,555,447,002 = 19,892,370,298,001/x
  3. Step 3: Cross multiply
    19,892,370,298,001x = 29,838,555,447,002 × 19,892,370,298,001
  4. Step 4: Simplify right side
    19,892,370,298,001x = 593,559,594,109,198,557,966,761,984
  5. Step 5: Solve for x
    x = 593,559,594,109,198,557,966,761,984/19,892,370,298,001
  6. Step 6: Final answer
    x = 29,838,555,447,002

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.