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Finding the Fourth Proportional to 722,021,765.76, 997,324,688.34 and 597,078,641.52

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Solution

The fourth proportional to 722,021,765.76, 997,324,688.34 and 597,078,641.52 is: 824,741,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,021,765.76 : 997,324,688.34 = 597,078,641.52 : x
  2. Step 2: Convert to fraction form
    722,021,765.76/997,324,688.34 = 597,078,641.52/x
  3. Step 3: Cross multiply
    722,021,765.76x = 997,324,688.34 × 597,078,641.52
  4. Step 4: Simplify right side
    722,021,765.76x = 595,481,270,068,404,608
  5. Step 5: Solve for x
    x = 595,481,270,068,404,608/722,021,765.76
  6. Step 6: Final answer
    x = 824,741,438.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.