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Finding the Fourth Proportional to 12,108,011,377.80, 18,162,017,066.70 and 12,108,011,377.80

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Solution

The fourth proportional to 12,108,011,377.80, 18,162,017,066.70 and 12,108,011,377.80 is: 18,162,017,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,108,011,377.80 : 18,162,017,066.70 = 12,108,011,377.80 : x
  2. Step 2: Convert to fraction form
    12,108,011,377.80/18,162,017,066.70 = 12,108,011,377.80/x
  3. Step 3: Cross multiply
    12,108,011,377.80x = 18,162,017,066.70 × 12,108,011,377.80
  4. Step 4: Simplify right side
    12,108,011,377.80x = 219,905,909,287,401,390,080
  5. Step 5: Solve for x
    x = 219,905,909,287,401,390,080/12,108,011,377.80
  6. Step 6: Final answer
    x = 18,162,017,066.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.