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Finding the Fourth Proportional to 606,396,905.40, 909,595,358.10 and 542,907,420.60

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Solution

The fourth proportional to 606,396,905.40, 909,595,358.10 and 542,907,420.60 is: 814,361,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,396,905.40 : 909,595,358.10 = 542,907,420.60 : x
  2. Step 2: Convert to fraction form
    606,396,905.40/909,595,358.10 = 542,907,420.60/x
  3. Step 3: Cross multiply
    606,396,905.40x = 909,595,358.10 × 542,907,420.60
  4. Step 4: Simplify right side
    606,396,905.40x = 493,826,069,655,804,352
  5. Step 5: Solve for x
    x = 493,826,069,655,804,352/606,396,905.40
  6. Step 6: Final answer
    x = 814,361,130.90

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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.