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Finding the Fourth Proportional to 332,006,411.20, 497,113,821.60 and 332,006,411.20

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Solution

The fourth proportional to 332,006,411.20, 497,113,821.60 and 332,006,411.20 is: 497,113,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,006,411.20 : 497,113,821.60 = 332,006,411.20 : x
  2. Step 2: Convert to fraction form
    332,006,411.20/497,113,821.60 = 332,006,411.20/x
  3. Step 3: Cross multiply
    332,006,411.20x = 497,113,821.60 × 332,006,411.20
  4. Step 4: Simplify right side
    332,006,411.20x = 165,044,975,867,333,056
  5. Step 5: Solve for x
    x = 165,044,975,867,333,056/332,006,411.20
  6. Step 6: Final answer
    x = 497,113,821.60

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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.