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Finding the Fourth Proportional to 497,664,233.80, 745,152,657.90 and 497,664,233.80

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Solution

The fourth proportional to 497,664,233.80, 745,152,657.90 and 497,664,233.80 is: 745,152,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,233.80 : 745,152,657.90 = 497,664,233.80 : x
  2. Step 2: Convert to fraction form
    497,664,233.80/745,152,657.90 = 497,664,233.80/x
  3. Step 3: Cross multiply
    497,664,233.80x = 745,152,657.90 × 497,664,233.80
  4. Step 4: Simplify right side
    497,664,233.80x = 370,835,826,557,836,992
  5. Step 5: Solve for x
    x = 370,835,826,557,836,992/497,664,233.80
  6. Step 6: Final answer
    x = 745,152,657.90

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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.