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Finding the Fourth Proportional to 587,390,292,023.10, 881,085,438,034.65 and 587,390,292,023.10

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Solution

The fourth proportional to 587,390,292,023.10, 881,085,438,034.65 and 587,390,292,023.10 is: 881,085,438,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,390,292,023.10 : 881,085,438,034.65 = 587,390,292,023.10 : x
  2. Step 2: Convert to fraction form
    587,390,292,023.10/881,085,438,034.65 = 587,390,292,023.10/x
  3. Step 3: Cross multiply
    587,390,292,023.10x = 881,085,438,034.65 × 587,390,292,023.10
  4. Step 4: Simplify right side
    587,390,292,023.10x = 517,541,032,744,474,057,375,744
  5. Step 5: Solve for x
    x = 517,541,032,744,474,057,375,744/587,390,292,023.10
  6. Step 6: Final answer
    x = 881,085,438,034.65

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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.