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Finding the Fourth Proportional to 106,080,854,812.60, 159,121,282,218.90 and 106,080,854,812.60

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Solution

The fourth proportional to 106,080,854,812.60, 159,121,282,218.90 and 106,080,854,812.60 is: 159,121,282,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,080,854,812.60 : 159,121,282,218.90 = 106,080,854,812.60 : x
  2. Step 2: Convert to fraction form
    106,080,854,812.60/159,121,282,218.90 = 106,080,854,812.60/x
  3. Step 3: Cross multiply
    106,080,854,812.60x = 159,121,282,218.90 × 106,080,854,812.60
  4. Step 4: Simplify right side
    106,080,854,812.60x = 16,879,721,636,657,880,891,392
  5. Step 5: Solve for x
    x = 16,879,721,636,657,880,891,392/106,080,854,812.60
  6. Step 6: Final answer
    x = 159,121,282,218.90

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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.