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Finding the Fourth Proportional to 2,125,402,416,309.30, 3,188,103,624,464 and 2,125,402,416,309.30

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Solution

The fourth proportional to 2,125,402,416,309.30, 3,188,103,624,464 and 2,125,402,416,309.30 is: 3,188,103,624,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,402,416,309.30 : 3,188,103,624,464 = 2,125,402,416,309.30 : x
  2. Step 2: Convert to fraction form
    2,125,402,416,309.30/3,188,103,624,464 = 2,125,402,416,309.30/x
  3. Step 3: Cross multiply
    2,125,402,416,309.30x = 3,188,103,624,464 × 2,125,402,416,309.30
  4. Step 4: Simplify right side
    2,125,402,416,309.30x = 6,776,003,146,880,223,308,414,976
  5. Step 5: Solve for x
    x = 6,776,003,146,880,223,308,414,976/2,125,402,416,309.30
  6. Step 6: Final answer
    x = 3,188,103,624,464

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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.