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Finding the Fourth Proportional to 497,664,234.30, 745,152,658.65 and 497,664,234.30

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Solution

The fourth proportional to 497,664,234.30, 745,152,658.65 and 497,664,234.30 is: 745,152,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,234.30 : 745,152,658.65 = 497,664,234.30 : x
  2. Step 2: Convert to fraction form
    497,664,234.30/745,152,658.65 = 497,664,234.30/x
  3. Step 3: Cross multiply
    497,664,234.30x = 745,152,658.65 × 497,664,234.30
  4. Step 4: Simplify right side
    497,664,234.30x = 370,835,827,303,661,504
  5. Step 5: Solve for x
    x = 370,835,827,303,661,504/497,664,234.30
  6. Step 6: Final answer
    x = 745,152,658.65

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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.