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Finding the Fourth Proportional to 497,664,334.65, 695,117,637.15 and 497,664,334.65

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Solution

The fourth proportional to 497,664,334.65, 695,117,637.15 and 497,664,334.65 is: 695,117,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,334.65 : 695,117,637.15 = 497,664,334.65 : x
  2. Step 2: Convert to fraction form
    497,664,334.65/695,117,637.15 = 497,664,334.65/x
  3. Step 3: Cross multiply
    497,664,334.65x = 695,117,637.15 × 497,664,334.65
  4. Step 4: Simplify right side
    497,664,334.65x = 345,935,256,395,734,848
  5. Step 5: Solve for x
    x = 345,935,256,395,734,848/497,664,334.65
  6. Step 6: Final answer
    x = 695,117,637.15

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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.