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Finding the Fourth Proportional to 2,125,402,416,294.80, 3,188,103,624,442 and 2,125,402,416,294.80

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Solution

The fourth proportional to 2,125,402,416,294.80, 3,188,103,624,442 and 2,125,402,416,294.80 is: 3,188,103,624,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,402,416,294.80 : 3,188,103,624,442 = 2,125,402,416,294.80 : x
  2. Step 2: Convert to fraction form
    2,125,402,416,294.80/3,188,103,624,442 = 2,125,402,416,294.80/x
  3. Step 3: Cross multiply
    2,125,402,416,294.80x = 3,188,103,624,442 × 2,125,402,416,294.80
  4. Step 4: Simplify right side
    2,125,402,416,294.80x = 6,776,003,146,787,236,192,714,752
  5. Step 5: Solve for x
    x = 6,776,003,146,787,236,192,714,752/2,125,402,416,294.80
  6. Step 6: Final answer
    x = 3,188,103,624,442

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Double scale
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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.