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Finding the Fourth Proportional to 43,460,115,840.68, 65,190,173,761.01 and 43,460,115,840.68

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Solution

The fourth proportional to 43,460,115,840.68, 65,190,173,761.01 and 43,460,115,840.68 is: 65,190,173,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,460,115,840.68 : 65,190,173,761.01 = 43,460,115,840.68 : x
  2. Step 2: Convert to fraction form
    43,460,115,840.68/65,190,173,761.01 = 43,460,115,840.68/x
  3. Step 3: Cross multiply
    43,460,115,840.68x = 65,190,173,761.01 × 43,460,115,840.68
  4. Step 4: Simplify right side
    43,460,115,840.68x = 2,833,172,503,327,226,724,352
  5. Step 5: Solve for x
    x = 2,833,172,503,327,226,724,352/43,460,115,840.68
  6. Step 6: Final answer
    x = 65,190,173,761.01

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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.