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Finding the Fourth Proportional to 497,664,295.05, 745,152,749.78 and 497,664,295.05

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Solution

The fourth proportional to 497,664,295.05, 745,152,749.78 and 497,664,295.05 is: 745,152,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,295.05 : 745,152,749.78 = 497,664,295.05 : x
  2. Step 2: Convert to fraction form
    497,664,295.05/745,152,749.78 = 497,664,295.05/x
  3. Step 3: Cross multiply
    497,664,295.05x = 745,152,749.78 × 497,664,295.05
  4. Step 4: Simplify right side
    497,664,295.05x = 370,835,917,921,344,448
  5. Step 5: Solve for x
    x = 370,835,917,921,344,448/497,664,295.05
  6. Step 6: Final answer
    x = 745,152,749.78

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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.