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Finding the Fourth Proportional to 51,298,271,999.95, 76,947,407,999.93 and 51,298,271,999.95

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Solution

The fourth proportional to 51,298,271,999.95, 76,947,407,999.93 and 51,298,271,999.95 is: 76,947,407,999.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,298,271,999.95 : 76,947,407,999.93 = 51,298,271,999.95 : x
  2. Step 2: Convert to fraction form
    51,298,271,999.95/76,947,407,999.93 = 51,298,271,999.95/x
  3. Step 3: Cross multiply
    51,298,271,999.95x = 76,947,407,999.93 × 51,298,271,999.95
  4. Step 4: Simplify right side
    51,298,271,999.95x = 3,947,269,065,271,281,188,864
  5. Step 5: Solve for x
    x = 3,947,269,065,271,281,188,864/51,298,271,999.95
  6. Step 6: Final answer
    x = 76,947,407,999.93

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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.