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Finding the Fourth Proportional to 587,390,292,023.60, 881,085,438,035.40 and 587,390,292,023.60

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Solution

The fourth proportional to 587,390,292,023.60, 881,085,438,035.40 and 587,390,292,023.60 is: 881,085,438,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,390,292,023.60 : 881,085,438,035.40 = 587,390,292,023.60 : x
  2. Step 2: Convert to fraction form
    587,390,292,023.60/881,085,438,035.40 = 587,390,292,023.60/x
  3. Step 3: Cross multiply
    587,390,292,023.60x = 881,085,438,035.40 × 587,390,292,023.60
  4. Step 4: Simplify right side
    587,390,292,023.60x = 517,541,032,745,355,129,651,200
  5. Step 5: Solve for x
    x = 517,541,032,745,355,129,651,200/587,390,292,023.60
  6. Step 6: Final answer
    x = 881,085,438,035.40

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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.