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Finding the Fourth Proportional to 2,125,402,416,039, 3,188,103,624,058.30 and 2,125,402,416,039

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Solution

The fourth proportional to 2,125,402,416,039, 3,188,103,624,058.30 and 2,125,402,416,039 is: 3,188,103,624,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,402,416,039 : 3,188,103,624,058.30 = 2,125,402,416,039 : x
  2. Step 2: Convert to fraction form
    2,125,402,416,039/3,188,103,624,058.30 = 2,125,402,416,039/x
  3. Step 3: Cross multiply
    2,125,402,416,039x = 3,188,103,624,058.30 × 2,125,402,416,039
  4. Step 4: Simplify right side
    2,125,402,416,039x = 6,776,003,145,156,201,960,964,096
  5. Step 5: Solve for x
    x = 6,776,003,145,156,201,960,964,096/2,125,402,416,039
  6. Step 6: Final answer
    x = 3,188,103,624,058.30

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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.