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Finding the Fourth Proportional to 4,915,693,926,006, 7,373,540,889,009.10 and 4,915,693,926,006

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Solution

The fourth proportional to 4,915,693,926,006, 7,373,540,889,009.10 and 4,915,693,926,006 is: 7,373,540,889,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915,693,926,006 : 7,373,540,889,009.10 = 4,915,693,926,006 : x
  2. Step 2: Convert to fraction form
    4,915,693,926,006/7,373,540,889,009.10 = 4,915,693,926,006/x
  3. Step 3: Cross multiply
    4,915,693,926,006x = 7,373,540,889,009.10 × 4,915,693,926,006
  4. Step 4: Simplify right side
    4,915,693,926,006x = 36,246,070,161,258,913,648,869,376
  5. Step 5: Solve for x
    x = 36,246,070,161,258,913,648,869,376/4,915,693,926,006
  6. Step 6: Final answer
    x = 7,373,540,889,009.10

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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.