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Finding the Fourth Proportional to 497,664,332.90, 695,117,634.70 and 497,664,332.90

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Solution

The fourth proportional to 497,664,332.90, 695,117,634.70 and 497,664,332.90 is: 695,117,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,332.90 : 695,117,634.70 = 497,664,332.90 : x
  2. Step 2: Convert to fraction form
    497,664,332.90/695,117,634.70 = 497,664,332.90/x
  3. Step 3: Cross multiply
    497,664,332.90x = 695,117,634.70 × 497,664,332.90
  4. Step 4: Simplify right side
    497,664,332.90x = 345,935,253,960,001,408
  5. Step 5: Solve for x
    x = 345,935,253,960,001,408/497,664,332.90
  6. Step 6: Final answer
    x = 695,117,634.70

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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.