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Finding the Fourth Proportional to 506,658,976.14, 698,828,867.96 and 464,977,670.16

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Solution

The fourth proportional to 506,658,976.14, 698,828,867.96 and 464,977,670.16 is: 641,338,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,658,976.14 : 698,828,867.96 = 464,977,670.16 : x
  2. Step 2: Convert to fraction form
    506,658,976.14/698,828,867.96 = 464,977,670.16/x
  3. Step 3: Cross multiply
    506,658,976.14x = 698,828,867.96 × 464,977,670.16
  4. Step 4: Simplify right side
    506,658,976.14x = 324,939,818,864,591,104
  5. Step 5: Solve for x
    x = 324,939,818,864,591,104/506,658,976.14
  6. Step 6: Final answer
    x = 641,338,324.53

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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.