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Finding the Fourth Proportional to 497,702,409.60, 746,553,614.40 and 497,702,409.60

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Solution

The fourth proportional to 497,702,409.60, 746,553,614.40 and 497,702,409.60 is: 746,553,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,702,409.60 : 746,553,614.40 = 497,702,409.60 : x
  2. Step 2: Convert to fraction form
    497,702,409.60/746,553,614.40 = 497,702,409.60/x
  3. Step 3: Cross multiply
    497,702,409.60x = 746,553,614.40 × 497,702,409.60
  4. Step 4: Simplify right side
    497,702,409.60x = 371,561,532,782,469,248
  5. Step 5: Solve for x
    x = 371,561,532,782,469,248/497,702,409.60
  6. Step 6: Final answer
    x = 746,553,614.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.