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Finding the Fourth Proportional to 71,455,746,140.20, 107,183,619,210.30 and 71,455,746,140.20

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Solution

The fourth proportional to 71,455,746,140.20, 107,183,619,210.30 and 71,455,746,140.20 is: 107,183,619,210.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,455,746,140.20 : 107,183,619,210.30 = 71,455,746,140.20 : x
  2. Step 2: Convert to fraction form
    71,455,746,140.20/107,183,619,210.30 = 71,455,746,140.20/x
  3. Step 3: Cross multiply
    71,455,746,140.20x = 107,183,619,210.30 × 71,455,746,140.20
  4. Step 4: Simplify right side
    71,455,746,140.20x = 7,658,885,484,679,060,783,104
  5. Step 5: Solve for x
    x = 7,658,885,484,679,060,783,104/71,455,746,140.20
  6. Step 6: Final answer
    x = 107,183,619,210.30

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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.