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Finding the Fourth Proportional to 4,828,897,419.65, 7,243,346,129.48 and 4,828,897,419.65

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Solution

The fourth proportional to 4,828,897,419.65, 7,243,346,129.48 and 4,828,897,419.65 is: 7,243,346,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,828,897,419.65 : 7,243,346,129.48 = 4,828,897,419.65 : x
  2. Step 2: Convert to fraction form
    4,828,897,419.65/7,243,346,129.48 = 4,828,897,419.65/x
  3. Step 3: Cross multiply
    4,828,897,419.65x = 7,243,346,129.48 × 4,828,897,419.65
  4. Step 4: Simplify right side
    4,828,897,419.65x = 34,977,375,434,253,639,680
  5. Step 5: Solve for x
    x = 34,977,375,434,253,639,680/4,828,897,419.65
  6. Step 6: Final answer
    x = 7,243,346,129.48

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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.