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Finding the Fourth Proportional to 19,892,370,298,004, 29,838,555,447,008 and 19,892,370,298,004

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Solution

The fourth proportional to 19,892,370,298,004, 29,838,555,447,008 and 19,892,370,298,004 is: 29,838,555,447,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,892,370,298,004 : 29,838,555,447,008 = 19,892,370,298,004 : x
  2. Step 2: Convert to fraction form
    19,892,370,298,004/29,838,555,447,008 = 19,892,370,298,004/x
  3. Step 3: Cross multiply
    19,892,370,298,004x = 29,838,555,447,008 × 19,892,370,298,004
  4. Step 4: Simplify right side
    19,892,370,298,004x = 593,559,594,109,407,396,456,562,688
  5. Step 5: Solve for x
    x = 593,559,594,109,407,396,456,562,688/19,892,370,298,004
  6. Step 6: Final answer
    x = 29,838,555,447,008

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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.