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Finding the Fourth Proportional to 497,883,611.40, 746,825,417.10 and 497,883,611.40

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Solution

The fourth proportional to 497,883,611.40, 746,825,417.10 and 497,883,611.40 is: 746,825,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,883,611.40 : 746,825,417.10 = 497,883,611.40 : x
  2. Step 2: Convert to fraction form
    497,883,611.40/746,825,417.10 = 497,883,611.40/x
  3. Step 3: Cross multiply
    497,883,611.40x = 746,825,417.10 × 497,883,611.40
  4. Step 4: Simplify right side
    497,883,611.40x = 371,832,135,751,059,328
  5. Step 5: Solve for x
    x = 371,832,135,751,059,328/497,883,611.40
  6. Step 6: Final answer
    x = 746,825,417.10

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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.