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Finding the Fourth Proportional to 2,125,402,416,682.70, 3,188,103,625,024 and 2,125,402,416,682.70

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Solution

The fourth proportional to 2,125,402,416,682.70, 3,188,103,625,024 and 2,125,402,416,682.70 is: 3,188,103,625,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,402,416,682.70 : 3,188,103,625,024 = 2,125,402,416,682.70 : x
  2. Step 2: Convert to fraction form
    2,125,402,416,682.70/3,188,103,625,024 = 2,125,402,416,682.70/x
  3. Step 3: Cross multiply
    2,125,402,416,682.70x = 3,188,103,625,024 × 2,125,402,416,682.70
  4. Step 4: Simplify right side
    2,125,402,416,682.70x = 6,776,003,149,260,886,099,623,936
  5. Step 5: Solve for x
    x = 6,776,003,149,260,886,099,623,936/2,125,402,416,682.70
  6. Step 6: Final answer
    x = 3,188,103,625,024

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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.