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Finding the Fourth Proportional to 497,664,331.40, 695,117,632.60 and 497,664,331.40

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Solution

The fourth proportional to 497,664,331.40, 695,117,632.60 and 497,664,331.40 is: 695,117,632.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,331.40 : 695,117,632.60 = 497,664,331.40 : x
  2. Step 2: Convert to fraction form
    497,664,331.40/695,117,632.60 = 497,664,331.40/x
  3. Step 3: Cross multiply
    497,664,331.40x = 695,117,632.60 × 497,664,331.40
  4. Step 4: Simplify right side
    497,664,331.40x = 345,935,251,872,229,824
  5. Step 5: Solve for x
    x = 345,935,251,872,229,824/497,664,331.40
  6. Step 6: Final answer
    x = 695,117,632.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.