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Finding the Fourth Proportional to 7,175,325,828.40, 10,762,988,742.60 and 7,175,325,828.40

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Solution

The fourth proportional to 7,175,325,828.40, 10,762,988,742.60 and 7,175,325,828.40 is: 10,762,988,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175,325,828.40 : 10,762,988,742.60 = 7,175,325,828.40 : x
  2. Step 2: Convert to fraction form
    7,175,325,828.40/10,762,988,742.60 = 7,175,325,828.40/x
  3. Step 3: Cross multiply
    7,175,325,828.40x = 10,762,988,742.60 × 7,175,325,828.40
  4. Step 4: Simplify right side
    7,175,325,828.40x = 77,227,951,115,556,225,024
  5. Step 5: Solve for x
    x = 77,227,951,115,556,225,024/7,175,325,828.40
  6. Step 6: Final answer
    x = 10,762,988,742.60

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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.