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Finding the Fourth Proportional to 497,664,408.40, 695,117,740.40 and 497,664,408.40

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Solution

The fourth proportional to 497,664,408.40, 695,117,740.40 and 497,664,408.40 is: 695,117,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,408.40 : 695,117,740.40 = 497,664,408.40 : x
  2. Step 2: Convert to fraction form
    497,664,408.40/695,117,740.40 = 497,664,408.40/x
  3. Step 3: Cross multiply
    497,664,408.40x = 695,117,740.40 × 497,664,408.40
  4. Step 4: Simplify right side
    497,664,408.40x = 345,935,359,044,510,720
  5. Step 5: Solve for x
    x = 345,935,359,044,510,720/497,664,408.40
  6. Step 6: Final answer
    x = 695,117,740.40

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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.