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Finding the Fourth Proportional to 497,664,334.40, 695,117,636.80 and 497,664,334.40

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Solution

The fourth proportional to 497,664,334.40, 695,117,636.80 and 497,664,334.40 is: 695,117,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,334.40 : 695,117,636.80 = 497,664,334.40 : x
  2. Step 2: Convert to fraction form
    497,664,334.40/695,117,636.80 = 497,664,334.40/x
  3. Step 3: Cross multiply
    497,664,334.40x = 695,117,636.80 × 497,664,334.40
  4. Step 4: Simplify right side
    497,664,334.40x = 345,935,256,047,772,928
  5. Step 5: Solve for x
    x = 345,935,256,047,772,928/497,664,334.40
  6. Step 6: Final answer
    x = 695,117,636.80

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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.