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Finding the Fourth Proportional to 19,892,370,298,002, 29,838,555,447,004 and 19,892,370,298,002

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Solution

The fourth proportional to 19,892,370,298,002, 29,838,555,447,004 and 19,892,370,298,002 is: 29,838,555,447,004

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892,370,298,002 : 29,838,555,447,004 = 19,892,370,298,002 : x
  2. Step 2: Convert to fraction form
    19,892,370,298,002/29,838,555,447,004 = 19,892,370,298,002/x
  3. Step 3: Cross multiply
    19,892,370,298,002x = 29,838,555,447,004 × 19,892,370,298,002
  4. Step 4: Simplify right side
    19,892,370,298,002x = 593,559,594,109,268,170,796,695,552
  5. Step 5: Solve for x
    x = 593,559,594,109,268,170,796,695,552/19,892,370,298,002
  6. Step 6: Final answer
    x = 29,838,555,447,004

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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.