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Finding the Fourth Proportional to 4,006,694,733,808.40, 6,010,042,100,712.40 and 4,006,694,733,808.40

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Solution

The fourth proportional to 4,006,694,733,808.40, 6,010,042,100,712.40 and 4,006,694,733,808.40 is: 6,010,042,100,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006,694,733,808.40 : 6,010,042,100,712.40 = 4,006,694,733,808.40 : x
  2. Step 2: Convert to fraction form
    4,006,694,733,808.40/6,010,042,100,712.40 = 4,006,694,733,808.40/x
  3. Step 3: Cross multiply
    4,006,694,733,808.40x = 6,010,042,100,712.40 × 4,006,694,733,808.40
  4. Step 4: Simplify right side
    4,006,694,733,808.40x = 24,080,404,034,891,146,822,942,720
  5. Step 5: Solve for x
    x = 24,080,404,034,891,146,822,942,720/4,006,694,733,808.40
  6. Step 6: Final answer
    x = 6,010,042,100,712.40

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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.